Prime p₀= 2503828539576415661 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 4 2 82 2 34 2 82 2 34 2 (?)
a_n: 0 2 30 32 36 38 120 122 156 158 240 242 276 278
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: 278
Found by: JayPi
db: batch=82, k=14, 28 4 82 34 82 34

SPT(18)	2503827261159043751	0 42 66 86 92 116 140 150 326 372 548 558 582 606 612 632 656 698	-1278417371910
SPT(16)	2503827359653406687	0 14 36 84 90 92 120 140 186 206 234 236 242 290 312 326	-1179923008974
STPT(10)	2503827388077241907	0 2 72 74 102 104 132 134 204 206	-1151499173754
STPT(10)	2503827590846264027	0 2 90 92 102 104 114 116 204 206	-948730151634
STPT(10)	2503828020656002121	0 2 6 8 48 50 90 92 96 98	-518920413540
SPT(16)	2503828046755736317	0 24 42 64 94 100 154 190 234 270 324 330 360 382 400 424	-492820679344
SPT(16)	2503828867863688201	0 22 48 78 106 156 256 280 288 312 412 462 490 520 546 568	328287272540
SPT(16)	2503829557895359061	0 2 30 32 90 110 132 156 326 350 372 392 450 452 480 482	1018318943400
STPT(10)	2503829789921403941	0 2 6 8 48 50 90 92 96 98	1250344988280
SPT(16)	2503829810957755627	0 42 54 190 196 202 210 240 256 286 294 300 306 442 454 496	1271381339966
SPT(16)	2503829897056309663	0 58 78 114 156 184 220 226 378 384 420 448 490 526 546 604	1357479894002