Prime p₀= 2355631197735548207 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 40 2 4 2 40 2 10 2 (?)
a_n: 0 2 12 14 54 56 60 62 102 104 114 116
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 116
Found by: Landjunge
db: batch=81, k=12, 2 10 2 40 2 4

SPT(18)	2355629555303109961	0 16 42 100 142 148 168 196 198 220 222 250 270 276 318 376 402 418	-1642432438246
TPT(14)	2355629697299900141	0 2 96 98 108 110 126 128 150 152 240 242 378 380	-1500435648066
TPT(14)	2355629898379743899	0 2 12 14 60 62 102 104 138 140 198 200 222 224	-1299355804308
SPT(16)	2355630861998093453	0 44 48 140 170 174 198 210 218 230 254 258 288 380 384 428	-335737454754
STPT(10)	2355631030909629827	0 2 54 56 72 74 90 92 144 146	-166825918380
SPT(16)	2355631188137807341	0 40 72 88 126 142 186 220 258 292 336 352 390 406 438 478	-9597740866
STPT(10)	2355631415902159667	0 2 30 32 42 44 54 56 84 86	218166611460
STPT(10)	2355631524318916157	0 2 30 32 42 44 54 56 84 86	326583367950
STPT(10)	2355631855157774717	0 2 30 32 42 44 54 56 84 86	657422226510
SPT(16)	2355631859289254573	0 30 44 54 56 104 110 114 140 144 150 198 200 210 224 254	661553706366
SPT(16)	2355632498594070121	0 12 28 40 46 70 132 142 156 166 228 252 258 270 286 298	1300858521914