Prime p₀= 969642513352625009 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: stoneageman
db: batch=76, k=10, 2 40 2 16 2

STPT(10)	969641496072883367	0 2 30 32 42 44 54 56 84 86	-1017279741642
SPT(16)	969641907585193679	0 12 42 74 92 114 144 152 270 278 308 330 348 380 410 422	-605767431330
SPT(16)	969642007836334951	0 6 30 42 70 76 100 136 156 192 216 222 250 262 286 292	-505516290058
SPT(18)	969642030653566601	0 6 30 42 66 90 102 116 122 126 132 146 158 182 206 218 242 248	-482699058408
SPT(16)	969642292044189067	0 10 12 30 42 52 120 124 150 154 222 232 244 262 264 274	-221308435942
STPT(10)	969642362054597237	0 2 30 32 42 44 54 56 84 86	-151298027772
SPT(16)	969642843841791487	0 16 34 46 76 106 156 184 216 244 294 324 354 366 384 400	330489166478
SPT(16)	969642932251104151	0 40 108 132 138 160 166 178 210 222 228 250 256 280 348 388	418898479142
STPT(10)	969643584395039249	0 2 12 14 90 92 168 170 180 182	1071042414240
SPT(16)	969643638056380219	0 28 114 130 252 270 294 312 340 358 382 400 522 538 624 652	1124703755210
SPT(16)	969643640007051041	0 36 42 50 120 138 152 156 182 186 200 218 288 296 302 338	1126654426032