Prime p₀= 38865035012579549 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 58 2 28 2 4 2 28 2 (?)
a_n: 0 2 42 44 102 104 132 134 138 140 168 170
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: davidBAM
db: batch=65, k=12, 40 58 28 4 28

SPT(14)	38864946902103947	0 6 14 104 114 126 132 164 170 182 192 282 290 296	-88110475602
TPT(12)	38864969962946129	0 2 30 32 72 74 78 80 90 92 132 134	-65049633420
SPT(16)	38865001924766777	0 12 26 60 62 116 132 152 174 194 210 264 266 300 314 326	-33087812772
TPT(12)	38865011904489311	0 2 90 92 126 128 186 188 210 212 258 260	-23108090238
SPT(14)	38865024717118723	0 28 30 34 48 58 100 114 156 166 180 184 186 214	-10295460826
SPT(14)	38865026802477283	0 18 64 78 106 108 150 154 196 198 226 240 286 304	-8210102266
SPT(14)	38865037795856161	0 42 102 106 126 172 196 312 336 382 402 406 466 508	2783276612
SPT(14)	38865047041148641	0 66 76 118 132 148 150 178 180 196 210 252 262 328	12028569092
SPT(14)	38865052576064593	0 40 46 54 88 90 118 126 154 156 190 198 204 244	17563485044
SPT(14)	38865086390894509	0 40 42 84 142 154 160 162 168 180 238 280 282 322	51378314960
SPT(14)	38865109254029083	0 48 70 84 88 90 124 204 238 240 244 258 280 328	74241449534