Prime p₀= 2615852571205665947 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 124 2 52 2 4 2 28 2 22 2 (?)
a_n: 0 2 24 26 150 152 204 206 210 212 240 242 264 266
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: 266
Found by: JayPi
db: batch=82, k=14, 22 124 52 4 28 22

SPT(16)	2615851782335183519	0 18 54 72 84 110 122 140 222 240 252 278 290 308 344 362	-788870482428
SPT(16)	2615851838537355973	0 18 70 88 174 190 216 234 280 298 324 340 426 444 496 514	-732668309974
SPT(16)	2615852087862683591	0 12 108 110 138 152 188 210 290 312 348 362 390 392 488 500	-483342982356
SPT(16)	2615852131916891599	0 18 30 40 84 144 154 160 168 174 184 244 288 298 310 328	-439288774348
STPT(10)	2615852307093776171	0 2 36 38 78 80 120 122 156 158	-264111889776
SPT(16)	2615852445091970443	0 30 36 58 76 88 100 120 196 216 228 240 258 280 286 316	-126113695504
STPT(10)	2615852642593706531	0 2 36 38 78 80 120 122 156 158	71388040584
SPT(16)	2615852694568772797	0 22 34 36 40 84 90 106 150 166 172 216 220 222 234 256	123363106850
STPT(10)	2615852879023330151	0 2 6 8 18 20 30 32 36 38	307817664204
STPT(10)	2615852990182600349	0 2 18 20 30 32 42 44 60 62	418976934402
SPT(16)	2615852995455055441	0 72 138 228 282 298 306 310 378 382 390 406 460 550 616 688	424249389494