Prime p₀= 87660836521703537 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 4 2 130 2 16 2 40 2 (?)
a_n: 0 2 24 26 30 32 162 164 180 182 222 224
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: 224
Found by: nenym
db: batch=67, k=12, 22 4 130 16 40

TPT(12)	87660796354446377	0 2 30 32 54 56 60 62 102 104 150 152	-40167257160
SPT(16)	87660803023157467	0 4 6 10 24 52 102 126 130 154 204 232 246 250 252 256	-33498546070
SPT(14)	87660820419851071	0 40 42 66 78 82 178 180 276 280 292 316 318 358	-16101852466
TPT(12)	87660823354117757	0 2 72 74 84 86 102 104 132 134 144 146	-13167585780
SPT(14)	87660835734783497	0 26 72 102 110 114 156 350 392 396 404 434 480 506	-786920040
SPT(14)	87660836443594121	0 60 68 152 162 186 192 236 242 266 276 360 368 428	-78109416
SPT(14)	87660847613014771	0 30 118 168 222 252 270 280 298 328 382 432 520 550	11091311234
SPT(14)	87660854904954631	0 18 42 60 72 102 196 342 436 466 478 496 520 538	18383251094
SPT(14)	87660856386864239	0 62 98 108 128 140 182 198 240 252 272 282 318 380	19865160702
SPT(14)	87660857544876719	0 8 54 120 140 168 174 224 230 258 278 344 390 398	21023173182
SPT(14)	87660863481270217	0 34 54 76 94 102 112 144 154 162 180 202 222 256	26959566680