Prime p₀= 1087670448622062869 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 34 2 118 2 10 2 70 2 4 2 (?)
a_n: 0 2 12 14 48 50 168 170 180 182 252 254 258 260
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: 260
Found by: [SG]ATA-Rolf
db: batch=76, k=14, 10 34 118 10 70 4

SPT(16)	1087668534993604169	0 90 110 114 132 140 168 188 294 314 342 350 368 372 392 482	-1913628458700
STPT(10)	1087668559975067039	0 2 12 14 30 32 48 50 60 62	-1888646995830
SPT(16)	1087669191655479523	0 10 24 30 58 70 84 100 138 154 168 180 208 214 228 238	-1256966583346
TPT(14)	1087669494929377469	0 2 72 74 90 92 132 134 222 224 282 284 312 314	-953692685400
SPT(16)	1087669520949297421	0 18 48 66 88 100 186 192 196 202 288 300 322 340 370 388	-927672765448
STPT(10)	1087669671763234457	0 2 42 44 102 104 162 164 204 206	-776858828412
SPT(16)	1087671239676740791	0 30 42 66 100 106 150 172 300 322 366 372 406 430 442 472	791054677922
SPT(16)	1087671682677929341	0 28 46 48 66 70 76 132 196 252 258 262 280 282 300 328	1234055866472
SPT(16)	1087671725193904579	0 18 58 60 84 88 100 114 208 222 234 238 262 264 304 322	1276571841710
STPT(10)	1087671869817792401	0 2 6 8 18 20 30 32 36 38	1421195729532
TPT(14)	1087672247049684377	0 2 42 44 54 56 132 134 144 146 174 176 240 242	1798427621508