Prime p₀= 847406186215263539 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 70 2 28 2 64 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 168 170 198 200 270 272
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: 272
Found by: scrap
db: batch=73, k=12, 2 70 2 28 2 64

SPT(16)	847404026419277479	0 18 28 52 54 70 78 84 88 94 102 118 120 144 154 172	-2159795986060
STPT(12)	847404505542656231	0 2 18 20 30 32 186 188 198 200 216 218	-1680672607308
STPT(10)	847405596806745701	0 2 6 8 48 50 90 92 96 98	-589408517838
SPT(16)	847405661643214133	0 14 36 66 74 78 80 84 140 144 146 150 158 188 210 224	-524572049406
SPT(16)	847405880256222421	0 12 58 96 120 162 180 210 268 298 316 358 382 420 466 478	-305959041118
TPT(14)	847405960077743117	0 2 102 104 120 122 162 164 204 206 210 212 240 242	-226137520422
STPT(10)	847406248449970367	0 2 30 32 72 74 114 116 144 146	62234706828
SPT(16)	847406540507813459	0 60 78 98 120 122 164 200 252 288 330 332 354 374 392 452	354292549920
STPT(10)	847406557736360969	0 2 42 44 90 92 138 140 180 182	371521097430
TPT(14)	847406563810248119	0 2 12 14 18 20 42 44 72 74 138 140 168 170	377594984580
SPT(20)	847407164383992517	0 6 76 100 126 132 166 172 184 210 286 312 324 330 364 370 396 420 490 496	978168728978