Prime p₀= 623901477672255359 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 28 2 64 2 22 2 58 2 (?)
a_n: 0 2 12 14 42 44 108 110 132 134 192 194
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: 194
Found by: xii5ku
db: batch=72, k=12, 10 28 64 22 58

TPT(12)	623901268374099797	0 2 12 14 72 74 102 104 132 134 174 176	-209298155562
TPT(12)	623901302058025931	0 2 18 20 36 38 78 80 90 92 156 158	-175614229428
TPT(12)	623901342211229039	0 2 18 20 42 44 102 104 138 140 168 170	-135461026320
TPT(12)	623901345103482419	0 2 78 80 150 152 162 164 210 212 240 242	-132568772940
SPT(16)	623901393872353763	0 14 18 38 78 84 110 116 168 174 200 206 246 266 270 284	-83799901596
TPT(12)	623901463182600989	0 2 78 80 138 140 168 170 198 200 222 224	-14489654370
SPT(16)	623901489157592263	0 10 66 76 78 90 106 126 238 258 274 286 288 298 354 364	11485336904
SPT(16)	623901515201269951	0 16 52 66 78 100 120 142 156 178 198 220 232 246 282 298	37529014592
TPT(12)	623901564724608809	0 2 18 20 42 44 72 74 78 80 168 170	87052353450
SPT(16)	623901576789256853	0 36 80 126 150 164 168 198 266 296 300 314 338 384 428 464	99117001494
TPT(12)	623901666124132127	0 2 30 32 144 146 180 182 252 254 312 314	188451876768