Prime p₀= 2515215774395433911 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 28 2 112 2 64 2 40 2 88 2 (?)
a_n: 0 2 96 98 126 128 240 242 306 308 348 350 438 440
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: 440
Found by: JayPi
db: batch=82, k=14, 94 28 112 64 40 88

SPT(16)	2515214436403522181	0 26 32 56 86 110 122 152 186 216 228 252 282 306 312 338	-1337991911730
TPT(14)	2515214918419046279	0 2 120 122 210 212 228 230 258 260 282 284 330 332	-855976387632
STPT(10)	2515214962887790769	0 2 12 14 90 92 168 170 180 182	-811507643142
SPT(16)	2515215184940860463	0 26 50 78 138 158 174 200 204 230 246 266 326 354 378 404	-589454573448
SPT(16)	2515215306374287547	0 32 44 92 120 150 156 192 224 260 266 296 324 372 384 416	-468021146364
SPT(16)	2515215744273278477	0 14 60 72 96 104 114 144 182 212 222 230 254 266 312 326	-30122155434
SPT(16)	2515215896810697629	0 20 42 68 164 168 302 350 372 420 554 558 654 680 702 722	122415263718
STPT(10)	2515215943477720001	0 2 30 32 78 80 126 128 156 158	169082286090
STPT(10)	2515215988494203507	0 2 30 32 120 122 210 212 240 242	214098769596
SPT(16)	2515215997241129383	0 28 70 84 90 144 154 180 238 264 274 328 334 348 390 418	222845695472
SPT(16)	2515216180493356451	0 26 38 66 86 128 140 150 158 168 180 222 242 270 282 308	406097922540