Prime p₀= 2101630023993367429 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 58 44 10 18 44 24 4 8 4 24 44 18 10 44 58 (?)
a_n: 0 58 102 112 130 174 198 202 210 214 238 282 300 310 354 412
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 412
Found by: Landjunge
db: batch=80, k=16, 58 44 10 18 44 24 4 8

SPT(16)	2101628813036591369	0 68 72 90 114 168 182 200 222 240 254 308 332 350 354 422	-1210956776060
SPT(16)	2101628826341275067	0 12 20 44 72 146 152 162 194 204 210 284 312 336 344 356	-1197652092362
SPT(16)	2101628979544143923	0 20 54 90 126 156 170 200 210 240 254 284 320 356 390 410	-1044449223506
STPT(10)	2101629025251945359	0 2 18 20 30 32 42 44 60 62	-998741422070
STPT(10)	2101629136353732521	0 2 6 8 48 50 90 92 96 98	-887639634908
SPT(16)	2101629496600255201	0 66 88 100 130 132 142 156 172 186 196 198 228 240 262 328	-527393112228
SPT(16)	2101630074390149353	0 18 24 36 84 88 124 136 138 150 186 190 238 250 256 274	50396781924
SPT(16)	2101630491211765873	0 24 30 34 58 64 76 90 94 108 120 126 150 154 160 184	467218398444
SPT(16)	2101630613978539751	0 6 18 20 48 78 98 122 126 150 170 200 228 230 242 248	589985172322
SPT(16)	2101630750866344899	0 10 70 88 90 112 132 144 178 190 210 232 234 252 312 322	726872977470
SPT(16)	2101630851092943659	0 2 84 90 140 188 198 212 240 254 264 312 362 368 450 452	827099576230