Prime p₀= 320687400857016689 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 4 2 22 2 106 2 16 2 (?)
a_n: 0 2 12 14 18 20 42 44 150 152 168 170
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: 170
Found by: Theadalus
db: batch=70, k=12, 10 4 22 106 16

SPT(14)	320687335450723993	0 10 16 36 66 148 156 160 168 250 280 300 306 316	-65406292696
SPT(14)	320687342668080263	0 30 56 126 128 144 170 234 260 276 278 348 374 404	-58188936426
SPT(14)	320687346562075201	0 36 46 60 100 102 106 192 196 198 238 252 262 298	-54294941488
SPT(14)	320687389799581127	0 12 26 72 74 92 126 170 204 222 224 270 284 296	-11057435562
TPT(12)	320687390195090921	0 2 78 80 90 92 120 122 156 158 168 170	-10661925768
SPT(14)	320687400619900781	0 20 36 62 78 80 90 98 108 110 126 152 168 188	-237115908
SPT(16)	320687434217007859	0 28 40 60 84 88 112 144 178 210 234 238 262 282 294 322	33359991170
SPT(14)	320687439608998261	0 10 18 52 78 90 108 130 148 160 186 220 228 238	38751981572
TPT(12)	320687444202910787	0 2 30 32 132 134 144 146 210 212 252 254	43345894098
TPT(12)	320687444752883699	0 2 138 140 168 170 282 284 318 320 360 362	43895867010
SPT(14)	320687453799993529	0 28 54 60 118 124 130 288 294 300 358 364 390 418	52942976840