Prime p₀= 1515536316440712521 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 70 2 34 2 10 2 16 2 22 2 (?)
a_n: 0 2 18 20 90 92 126 128 138 140 156 158 180 182
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: 182
Found by: xii5ku
db: batch=78, k=14, 16 70 34 10 16 22

SPT(22)	1515535229167434973	0 10 40 88 114 124 150 156 220 238 276 298 336 354 418 424 450 460 486 534 564 574	-1087273277548
SPT(16)	1515535234267736263	0 4 24 28 30 40 60 70 138 148 168 178 180 184 204 208	-1082172976258
SPT(16)	1515535465178545367	0 32 42 56 72 86 96 156 170 230 240 254 270 284 294 326	-851262167154
STPT(10)	1515535933117222139	0 2 12 14 30 32 48 50 60 62	-383323490382
SPT(18)	1515536058834521579	0 32 98 102 108 144 164 188 230 252 294 318 338 374 380 384 450 482	-257606190942
SPT(16)	1515536203626210383	0 14 24 44 74 98 128 198 200 270 300 324 354 374 384 398	-112814502138
STPT(10)	1515536383900945919	0 2 42 44 60 62 78 80 120 122	67460233398
STPT(10)	1515536650663360019	0 2 30 32 60 62 90 92 120 122	334222647498
STPT(10)	1515537074011234007	0 2 30 32 42 44 54 56 84 86	757570521486
STPT(10)	1515537376759757579	0 2 42 44 90 92 138 140 180 182	1060319045058
SPT(16)	1515537484143275701	0 16 30 40 42 58 78 108 250 280 300 316 318 328 342 358	1167702563180