Prime p₀= 1003252764988303439 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 28 2 10 2 76 2 52 2 (?)
a_n: 0 2 42 44 78 80 108 110 120 122 198 200 252 254
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 254
Found by: stoneageman
db: batch=76, k=14, 40 34 28 10 76 52

SPT(16)	1003250604384490019	0 18 60 104 158 188 192 200 252 260 264 294 348 392 434 452	-2160603813420
SPT(16)	1003251253942305749	0 8 38 62 80 108 128 140 162 174 194 222 240 264 294 302	-1511045997690
SPT(16)	1003251281533647127	0 34 60 64 112 114 142 172 174 204 232 234 282 286 312 346	-1483454656312
SPT(16)	1003251424083635557	0 22 64 76 106 136 160 322 384 546 570 600 630 642 684 706	-1340904667882
SPT(16)	1003251553648391863	0 4 48 78 96 118 126 166 168 208 216 238 256 286 330 334	-1211339911576
SPT(16)	1003252135283365633	0 4 58 78 84 108 150 168 250 268 310 334 340 360 414 418	-629704937806
SPT(16)	1003252818237890041	0 12 40 42 66 78 136 148 210 222 280 292 316 318 346 358	53249586602
STPT(10)	1003252831245440099	0 2 42 44 60 62 78 80 120 122	66257136660
SPT(16)	1003252849133816971	0 16 40 132 166 240 252 280 378 406 418 492 526 618 642 658	84145513532
STPT(10)	1003253155891937297	0 2 12 14 42 44 72 74 84 86	390903633858
SPT(16)	1003253344699649039	0 12 44 68 122 128 152 164 198 210 234 240 294 318 350 362	579711345600