Prime p₀= 1126410030551216417 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 58 2 28 2 148 2 88 2 136 2 (?)
a_n: 0 2 24 26 84 86 114 116 264 266 354 356 492 494
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: 494
Found by: crashtech
db: batch=76, k=14, 22 58 28 148 88 136

STPT(10)	1126408307364261281	0 2 6 8 48 50 90 92 96 98	-1723186955136
SPT(16)	1126408695739225121	0 2 12 26 42 98 116 182 186 252 270 326 342 356 366 368	-1334811991296
TPT(14)	1126408996053499391	0 2 48 50 60 62 78 80 156 158 198 200 228 230	-1034497717026
SPT(16)	1126409300606161657	0 16 64 66 94 114 126 166 210 250 262 282 310 312 360 376	-729945054760
SPT(16)	1126409862832186697	0 20 36 66 72 84 120 122 294 296 332 344 350 380 396 416	-167719029720
SPT(16)	1126409912847070063	0 16 24 60 64 66 78 106 108 136 148 150 154 190 198 214	-117704146354
SPT(16)	1126410276178121197	0 4 16 30 76 112 130 142 174 186 204 240 286 300 312 316	245626904780
SPT(16)	1126410464775730339	0 24 84 90 102 192 214 220 234 240 262 352 364 370 430 454	434224513922
STPT(10)	1126410644569090217	0 2 30 32 42 44 54 56 84 86	614017873800
SPT(16)	1126410676789711969	0 12 40 60 78 90 102 118 132 148 160 172 190 210 238 250	646238495552
STPT(10)	1126410699290269577	0 2 30 32 60 62 90 92 120 122	668739053160