Prime p₀= 294569603791670069 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 268 2 172 2 34 2 88 2 (?)
a_n: 0 2 18 20 288 290 462 464 498 500 588 590
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: 590
Found by: Donn Pike (USAF Ret)
db: batch=69, k=12, 16 268 172 34 88

SPT(14)	294569530320899689	0 18 58 64 94 108 144 154 190 204 234 240 280 298	-73470770380
SPT(14)	294569535244818689	0 18 20 42 48 108 122 150 164 224 230 252 254 272	-68546851380
SPT(14)	294569540432363881	0 10 28 46 112 126 132 136 142 156 222 240 258 268	-63359306188
SPT(14)	294569543849387687	0 62 132 150 174 182 200 264 282 290 314 332 402 464	-59942282382
SPT(14)	294569569609536227	0 2 24 26 56 80 102 164 186 210 240 242 264 266	-34182133842
SPT(16)	294569570090807159	0 42 68 78 108 110 134 150 152 168 192 194 224 234 260 302	-33700862910
TPT(12)	294569622685086401	0 2 30 32 78 80 90 92 168 170 186 188	18893416332
TPT(12)	294569637124292399	0 2 132 134 240 242 288 290 498 500 522 524	33332622330
SPT(14)	294569642652077071	0 42 52 60 82 88 108 112 132 138 160 168 178 220	38860407002
SPT(14)	294569648952659141	0 12 20 32 98 110 120 200 210 222 288 300 308 320	45160989072
SPT(14)	294569662979711143	0 16 24 34 114 126 156 178 208 220 300 310 318 334	59188041074