Prime p₀= 94323424877219231 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 28 2 10 2 76 2 22 2 (?)
a_n: 0 2 36 38 66 68 78 80 156 158 180 182
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: 182
Found by: Vit Kliber
db: batch=67, k=12, 34 28 10 76 22

TPT(12)	94323371165853059	0 2 72 74 138 140 150 152 192 194 222 224	-53711366172
SPT(16)	94323386866397347	0 22 40 94 112 114 142 150 184 192 220 222 240 294 312 334	-38010821884
SPT(14)	94323396801150401	0 8 26 78 120 128 132 176 180 188 230 282 300 308	-28076068830
SPT(14)	94323402100477547	0 6 32 44 60 72 86 90 104 116 132 144 170 176	-22776741684
SPT(14)	94323403047958681	0 6 18 22 70 76 88 90 102 108 156 160 172 178	-21829260550
SPT(14)	94323422151132437	0 42 74 90 102 110 152 174 216 224 236 252 284 326	-2726086794
SPT(14)	94323440938755493	0 6 34 54 64 126 154 210 238 300 310 330 358 364	16061536262
TPT(12)	94323447082612367	0 2 72 74 102 104 174 176 252 254 270 272	22205393136
TPT(12)	94323454080692657	0 2 72 74 120 122 144 146 210 212 240 242	29203473426
SPT(14)	94323456246075149	0 8 30 80 84 92 98 144 150 158 162 212 234 242	31368855918
STPT(10)	94323474766065707	0 2 30 32 42 44 54 56 84 86	49888846476