Prime p₀= 2539852145727824087 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 28 2 124 2 58 2 28 2 (?)
a_n: 0 2 12 14 24 26 54 56 180 182 240 242 270 272
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: 272
Found by: JayPi
db: batch=82, k=14, 10 10 28 124 58 28

SPT(16)	2539851434820923569	0 24 42 84 90 108 142 168 184 210 244 262 268 310 328 352	-710906900518
SPT(16)	2539851480182690417	0 6 32 42 56 86 122 126 146 150 186 216 230 240 266 272	-665545133670
STPT(12)	2539851716180924009	0 2 60 62 132 134 138 140 210 212 270 272	-429546900078
STPT(10)	2539851798789655289	0 2 18 20 30 32 42 44 60 62	-346938168798
STPT(10)	2539851971018117837	0 2 12 14 72 74 132 134 144 146	-174709706250
STPT(12)	2539851983363734409	0 2 12 14 102 104 108 110 198 200 210 212	-162364089678
SPT(16)	2539852530600098981	0 38 60 78 80 102 150 158 252 260 308 330 332 350 372 410	384872274894
SPT(16)	2539852791711487981	0 10 42 70 72 82 120 138 322 340 378 388 390 418 450 460	645983663894
SPT(16)	2539852965896714581	0 12 28 36 42 60 72 78 130 136 148 166 172 180 196 208	820168890494
STPT(10)	2539852981977182231	0 2 6 8 48 50 90 92 96 98	836249358144
SPT(16)	2539853198474796163	0 10 78 94 126 136 148 154 180 186 198 208 240 256 324 334	1052746972076