Prime p₀= 1058123646230091137 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 76 2 88 2 88 2 22 2 4 2 (?)
a_n: 0 2 12 14 90 92 180 182 270 272 294 296 300 302
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: 302
Found by: Theadalus
db: batch=76, k=14, 10 76 88 88 22 4

SPT(16)	1058122806645599699	0 14 20 44 54 68 78 90 98 110 120 134 144 168 174 188	-839584491438
STPT(10)	1058123120832264671	0 2 30 32 60 62 90 92 120 122	-525397826466
STPT(10)	1058123182111266587	0 2 30 32 42 44 54 56 84 86	-464118824550
SPT(16)	1058123536528896913	0 28 54 60 64 78 126 144 190 208 256 270 274 280 306 334	-109701194224
TPT(14)	1058123549858221421	0 2 108 110 156 158 168 170 180 182 198 200 306 308	-96371869716
SPT(16)	1058123618543624939	0 14 20 78 158 174 182 194 258 270 278 294 374 432 438 452	-27686466198
TPT(14)	1058123912811452519	0 2 30 32 138 140 180 182 222 224 240 242 270 272	266581361382
STPT(10)	1058124008019003221	0 2 6 8 18 20 30 32 36 38	361788912084
SPT(16)	1058124099516902581	0 28 60 72 106 108 130 148 150 168 190 192 226 238 270 298	453286811444
STPT(10)	1058124270243117557	0 2 30 32 42 44 54 56 84 86	624013026420
SPT(16)	1058124363429174101	0 30 32 36 42 92 98 152 186 240 246 296 302 306 308 338	717199082964