Prime p₀= 58516336892598421 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 22 24 2 22 18 18 26 28 2 4 2 28 26 18 18 22 2 24 22 (?)
a_n: 0 22 46 48 70 88 106 132 160 162 166 168 196 222 240 258 280 282 306 328
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 328
derived by truncating larger tuple
Found by: emoga
db: batch=67, k=20, 22 24 2 22 18 18 26 28 2 4

SPT(14)	58516313807780011	0 16 18 30 60 78 82 126 130 148 178 190 192 208	-23084818410
SPT(14)	58516318541649347	0 32 84 122 164 186 192 194 200 222 264 302 354 386	-18350949074
TPT(12)	58516323627031019	0 2 78 80 120 122 138 140 192 194 198 200	-13265567402
SPT(14)	58516324447500889	0 12 82 114 120 124 138 214 228 232 238 270 340 352	-12445097532
SPT(14)	58516334146918979	0 30 114 128 140 288 312 350 374 522 534 548 632 662	-2745679442
SPT(22)	58516336892598413	0 8 30 54 56 78 96 114 140 168 170 174 176 204 230 248 266 288 290 314 336 344	-8
SPT(14)	58516351475506307	0 36 74 84 96 120 146 180 206 230 242 252 290 326	14582907886
TPT(12)	58516359253645061	0 2 18 20 60 62 66 68 96 98 108 110	22361046640
SPT(16)	58516386856679893	0 4 10 60 70 88 94 124 150 180 186 204 214 264 270 274	49964081472
SPT(14)	58516390252491679	0 34 70 112 132 144 154 228 238 250 270 312 348 382	53359893258
STPT(10)	58516409764497647	0 2 54 56 132 134 210 212 264 266	72871899226
SPT(14)	58516416455177053	0 10 36 46 66 76 84 196 204 214 234 244 270 280	79562578632