Prime p₀= 1266500924731492127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Megacruncher
db: batch=77, k=10, 2 58 2 10 2

SPT(16)	1266500030046509717	0 2 6 20 26 32 42 86 156 200 210 216 222 236 240 242	-894684982410
SPT(16)	1266500065113822529	0 4 34 48 82 130 168 238 264 334 372 420 454 468 498 502	-859617669598
SPT(16)	1266500150968476097	0 10 24 46 94 112 130 144 202 216 234 252 300 322 336 346	-773763016030
SPT(16)	1266500536076650741	0 12 18 48 52 58 72 132 136 196 210 216 220 250 256 268	-388654841386
SPT(16)	1266500867583899993	0 14 56 84 86 104 108 134 210 236 240 258 260 288 330 344	-57147592134
SPT(16)	1266500879141413961	0 36 42 66 110 128 180 210 248 278 330 348 392 416 422 458	-45590078166
SPT(16)	1266501111811296409	0 12 90 124 130 138 168 174 178 184 214 222 228 262 340 352	187079804282
STPT(12)	1266501156174129131	0 2 60 62 90 92 168 170 198 200 258 260	231442637004
STPT(10)	1266501201231317729	0 2 18 20 30 32 42 44 60 62	276499825602
SPT(16)	1266501310437404683	0 24 48 66 78 90 168 178 186 196 274 286 298 316 340 364	385705912556
STPT(10)	1266501389416464737	0 2 30 32 42 44 54 56 84 86	464684972610