Prime p₀= 142451457268370141 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 250 2 28 2 16 2 28 2 (?)
a_n: 0 2 6 8 258 260 288 290 306 308 336 338
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: 338
Found by: Alez
db: batch=67, k=12, 4 250 28 16 28

SPT(14)	142451320575650291	0 2 18 78 128 132 186 242 296 300 350 410 426 428	-136692719850
SPT(16)	142451324549705351	0 8 56 92 102 110 126 138 140 152 168 176 186 222 270 278	-132718664790
SPT(14)	142451337083696309	0 50 92 110 174 182 198 284 300 308 372 390 432 482	-120184673832
SPT(14)	142451356980892301	0 38 56 66 72 86 128 150 192 206 212 222 240 278	-100287477840
SPT(14)	142451411666185283	0 6 56 78 90 116 134 180 198 224 236 258 308 314	-45602184858
SPT(14)	142451433774071467	0 16 22 70 84 90 132 184 226 232 246 294 300 316	-23494298674
SPT(14)	142451458644716681	0 12 26 32 42 56 66 92 102 116 126 132 146 158	1376346540
STPT(10)	142451465080387649	0 2 42 44 90 92 138 140 180 182	7812017508
SPT(14)	142451477455953641	0 56 72 92 110 132 152 156 176 198 216 236 252 308	20187583500
SPT(14)	142451477579608091	0 12 42 72 122 156 182 240 266 300 350 380 410 422	20311237950
SPT(14)	142451494468244573	0 6 20 56 84 96 126 134 164 176 204 240 254 260	37199874432