Prime p₀= 1087672247049684377 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 76 2 10 2 28 2 64 2 (?)
a_n: 0 2 42 44 54 56 132 134 144 146 174 176 240 242
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: 242
Found by: [SG]ATA-Rolf
db: batch=76, k=14, 40 10 76 10 28 64

STPT(10)	1087669671763234457	0 2 42 44 102 104 162 164 204 206	-2575286449920
TPT(14)	1087670448622062869	0 2 12 14 48 50 168 170 180 182 252 254 258 260	-1798427621508
SPT(16)	1087671239676740791	0 30 42 66 100 106 150 172 300 322 366 372 406 430 442 472	-1007372943586
SPT(16)	1087671682677929341	0 28 46 48 66 70 76 132 196 252 258 262 280 282 300 328	-564371755036
SPT(16)	1087671725193904579	0 18 58 60 84 88 100 114 208 222 234 238 262 264 304 322	-521855779798
STPT(10)	1087671869817792401	0 2 6 8 18 20 30 32 36 38	-377231891976
STPT(10)	1087672496526161669	0 2 12 14 30 32 48 50 60 62	249476477292
SPT(16)	1087672572022380319	0 24 54 154 202 222 232 240 244 252 262 282 330 430 460 484	324972695942
TPT(14)	1087672604334842717	0 2 102 104 144 146 204 206 252 254 294 296 300 302	357285158340
SPT(16)	1087673198126558621	0 50 68 92 120 158 162 182 198 218 222 260 288 312 330 380	951076874244
SPT(16)	1087673666807101841	0 12 26 48 62 90 102 132 146 176 188 216 230 252 266 278	1419757417464