Prime p₀= 587950582712698159 starts a Symmetric tuple of 22 consecutive primes (SPT).
d_n: 0 22 12 6 24 30 14 10 2 54 18 28 18 54 2 10 14 30 24 6 12 22 (?)
a_n: 0 22 34 40 64 94 108 118 120 174 192 220 238 292 294 304 318 348 372 378 390 412
All 22 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 412
derived by truncating larger tuple
Found by: Tomáš Brada
db: batch=58, k=22, 22 12 6 24 30 14 10 2 54 18 28

SPT(14)	587950543231094699	0 12 32 50 68 74 108 134 168 174 192 210 230 242	-39481603460
SPT(14)	587950543482576761	0 102 126 128 138 170 180 188 198 230 240 242 266 368	-39230121398
SPT(14)	587950548821616803	0 8 18 60 84 110 116 138 144 170 194 236 246 254	-33891081356
TPT(12)	587950566828854417	0 2 12 14 42 44 114 116 192 194 210 212	-15883843742
SPT(14)	587950575378173251	0 6 40 66 82 126 132 160 166 210 226 252 286 292	-7334524908
SPT(24)	587950582712698157	0 2 24 36 42 66 96 110 120 122 176 194 222 240 294 296 306 320 350 374 380 392 414 416	-2
SPT(14)	587950605352460059	0 30 72 78 84 112 142 180 210 238 244 250 292 322	22639761900
SPT(14)	587950608890805533	0 18 36 44 60 84 86 198 200 224 240 248 266 284	26178107374
TPT(12)	587950614361006319	0 2 42 44 132 134 168 170 192 194 210 212	31648308160
TPT(12)	587950615286591741	0 2 30 32 90 92 156 158 246 248 270 272	32573893582
SPT(14)	587950662214761631	0 16 22 100 120 136 172 216 252 268 288 366 372 388	79502063472
SPT(14)	587950678723061041	0 22 58 72 82 90 120 160 190 198 208 222 258 280	96010362882