Prime p₀= 1137833859148505999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: stoneageman
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1137833082577850597	0 116 156 182 186 224 242 252 284 294 312 350 354 380 420 536	-776570655402
STPT(10)	1137833102169300737	0 2 30 32 72 74 114 116 144 146	-756979205262
SPT(16)	1137833293254285079	0 48 60 64 70 88 112 138 154 180 204 222 228 232 244 292	-565894220920
SPT(16)	1137833307538170703	0 6 10 54 76 120 126 174 280 328 334 378 400 444 448 454	-551610335296
SPT(16)	1137833332747381667	0 42 56 62 80 132 134 144 182 192 194 246 264 270 284 326	-526401124332
TPT(14)	1137833529477161849	0 2 48 50 78 80 90 92 138 140 288 290 300 302	-329671344150
STPT(10)	1137834347647367339	0 2 12 14 30 32 48 50 60 62	488498861340
SPT(16)	1137835045274483447	0 6 20 30 56 62 80 86 126 132 150 156 182 192 206 212	1186125977448
STPT(10)	1137835098544165337	0 2 30 32 42 44 54 56 84 86	1239395659338
SPT(16)	1137835108366854097	0 6 36 70 156 160 162 202 210 250 252 256 342 376 406 412	1249218348098
SPT(16)	1137835144462554253	0 16 30 36 58 70 78 88 126 136 144 156 178 184 198 214	1285314048254