Prime p₀= 1258028286787151237 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 46 2 28 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 120 122 150 152 210 212 222 224
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: 224
Found by: stoneageman
db: batch=77, k=14, 10 58 46 28 58 10

SPT(16)	1258027124569387231	0 72 76 118 126 148 156 192 286 322 330 352 360 402 406 478	-1162217764006
SPT(16)	1258027514966715469	0 12 18 48 78 120 130 162 250 282 292 334 364 394 400 412	-771820435768
TPT(14)	1258027567519745831	0 2 18 20 48 50 96 98 156 158 210 212 228 230	-719267405406
SPT(16)	1258027729665161431	0 28 42 82 100 106 120 126 142 148 162 168 186 226 240 268	-557121989806
STPT(10)	1258028019726698159	0 2 42 44 60 62 78 80 120 122	-267060453078
STPT(10)	1258028119430365079	0 2 18 20 30 32 42 44 60 62	-167356786158
STPT(10)	1258028443843691459	0 2 42 44 60 62 78 80 120 122	157056540222
SPT(16)	1258028945478490517	0 54 72 80 182 192 210 222 224 236 254 264 366 374 392 446	658691339280
STPT(10)	1258029150705406697	0 2 72 74 102 104 132 134 204 206	863918255460
STPT(10)	1258029659238574007	0 2 30 32 60 62 90 92 120 122	1372451422770
SPT(16)	1258029927164744621	0 30 42 72 90 108 170 210 380 420 482 500 518 548 560 590	1640377593384