Prime p₀= 1081462031890844027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: Theadalus
db: batch=76, k=10, 2 52 2 76 2

SPT(16)	1081460623192727147	0 12 24 30 54 90 122 152 252 282 314 350 374 380 392 404	-1408698116880
SPT(16)	1081460656452943913	0 18 44 60 138 158 168 170 198 200 210 230 308 324 350 368	-1375437900114
STPT(10)	1081460728717366967	0 2 30 32 72 74 114 116 144 146	-1303173477060
STPT(10)	1081460896826387171	0 2 6 8 48 50 90 92 96 98	-1135064456856
SPT(16)	1081461498660821617	0 16 22 54 72 84 106 202 204 300 322 334 352 384 390 406	-533230022410
SPT(16)	1081461674238387707	0 2 14 24 62 80 104 114 122 132 156 174 212 222 234 236	-357652456320
SPT(16)	1081462365936872863	0 10 28 30 108 130 160 180 214 234 264 286 364 366 384 394	334046028836
TPT(14)	1081462511186139791	0 2 18 20 60 62 78 80 90 92 216 218 288 290	479295295764
STPT(10)	1081462558757425457	0 2 30 32 42 44 54 56 84 86	526866581430
SPT(16)	1081462571301674797	0 70 76 82 130 144 196 202 264 270 322 336 384 390 396 466	539410830770
TPT(16)	1081462726921375961	0 2 66 68 108 110 138 140 180 182 240 242 288 290 348 350	695030531934