Prime p₀= 1971029189119073717 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 58 2 76 2 40 2 70 2 (?)
a_n: 0 2 60 62 72 74 132 134 210 212 252 254 324 326
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: 326
Found by: ChUcK
db: batch=80, k=14, 58 10 58 76 40 70

SPT(18)	1971028588939681367	0 12 20 54 56 66 74 84 90 116 122 132 140 150 152 186 194 206	-600179392350
STPT(10)	1971028702232533367	0 2 54 56 72 74 90 92 144 146	-486886540350
SPT(16)	1971028847989215043	0 16 24 58 124 138 148 240 274 366 376 390 456 490 498 514	-341129858674
SPT(16)	1971028862688412421	0 26 60 68 98 108 152 156 182 186 230 240 270 278 312 338	-326430661296
SPT(16)	1971028929158817371	0 60 78 86 116 132 176 198 230 252 296 312 342 350 368 428	-259960256346
SPT(18)	1971029132737365637	0 10 34 52 94 102 112 124 136 210 222 234 244 252 294 312 336 346	-56381708080
STPT(10)	1971029305954837727	0 2 30 32 42 44 54 56 84 86	116835764010
SPT(16)	1971029679748670081	0 2 6 72 90 98 116 120 128 132 150 158 176 242 246 248	490629596364
STPT(10)	1971030079133356511	0 2 6 8 48 50 90 92 96 98	890014282794
SPT(16)	1971030095156531263	0 18 28 30 54 64 70 138 196 264 270 280 304 306 316 334	906037457546
STPT(10)	1971030727525207877	0 2 12 14 42 44 72 74 84 86	1538406134160