Prime p₀= 2525113127968468559 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 40 2 34 2 58 2 22 2 (?)
a_n: 0 2 30 32 90 92 132 134 168 170 228 230 252 254
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: [SG-FC] hl
db: batch=82, k=14, 28 58 40 34 58 22

STPT(10)	2525111410505156687	0 2 30 32 42 44 54 56 84 86	-1717463311872
SPT(16)	2525111962230190561	0 22 40 42 90 106 118 132 196 210 222 238 286 288 306 328	-1165738277998
SPT(16)	2525112328932962473	0 46 78 96 126 154 216 256 288 328 390 418 448 466 498 544	-799035506086
STPT(10)	2525112857638828439	0 2 12 14 90 92 168 170 180 182	-270329640120
SPT(16)	2525112925560759167	0 6 20 72 104 110 152 156 170 174 216 222 254 306 320 326	-202407709392
SPT(16)	2525112992127800873	0 14 44 56 86 108 128 144 260 276 296 318 348 360 390 404	-135840667686
STPT(10)	2525113280137689557	0 2 30 32 42 44 54 56 84 86	152169220998
SPT(16)	2525113957519165343	0 14 30 56 60 84 144 170 174 200 260 284 288 314 330 344	829550696784
TPT(14)	2525113984299598229	0 2 18 20 42 44 72 74 108 110 168 170 192 194	856331129670
STPT(10)	2525114050157300489	0 2 18 20 30 32 42 44 60 62	922188831930
STPT(10)	2525114260611274217	0 2 54 56 72 74 90 92 144 146	1132642805658