Prime p₀= 1131592909938686537 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 70 2 58 2 46 2 28 2 10 2 (?)
a_n: 0 2 12 14 84 86 144 146 192 194 222 224 234 236
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: 236
Found by: Alnitak2019
db: batch=76, k=14, 10 70 58 46 28 10

STPT(10)	1131591986334335957	0 2 54 56 72 74 90 92 144 146	-923604350580
SPT(16)	1131592030150537661	0 38 80 90 110 128 138 140 156 158 168 186 206 216 258 296	-879788148876
STPT(10)	1131592534934351471	0 2 36 38 78 80 120 122 156 158	-375004335066
STPT(10)	1131592536346944557	0 2 12 14 42 44 72 74 84 86	-373591741980
SPT(16)	1131592664277971299	0 42 52 70 118 120 150 162 250 262 292 294 342 360 370 412	-245660715238
TPT(14)	1131592836414956561	0 2 6 8 18 20 48 50 60 62 90 92 120 122	-73523729976
SPT(16)	1131593016230203733	0 24 30 44 66 84 188 198 206 216 320 338 360 374 380 404	106291517196
SPT(16)	1131593253512512993	0 16 28 46 94 126 160 186 268 294 328 360 408 426 438 454	343573826456
SPT(16)	1131593872652731451	0 18 36 42 90 98 146 168 200 222 270 278 326 332 350 368	962714044914
STPT(10)	1131594171238967669	0 2 48 50 60 62 72 74 120 122	1261300281132
SPT(16)	1131594549434863889	0 8 12 102 138 144 182 194 228 240 278 284 320 410 414 422	1639496177352