Prime p₀= 919490878664452091 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 28 2 34 2 52 2 76 2 (?)
a_n: 0 2 30 32 60 62 90 92 126 128 180 182 258 260
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: 260
Found by: Fornax
db: batch=76, k=14, 28 28 28 34 52 76

SPT(13)	919489761426936131	0 42 78 90 120 132 150 168 180 210 222 258 300	-1117237515960
SPT(16)	919489815923666333	0 26 48 56 68 90 108 164 180 236 254 276 288 296 318 344	-1062740785758
SPT(16)	919489989103812079	0 28 78 84 88 94 144 148 150 154 204 210 214 220 270 298	-889560640012
SPT(16)	919490433146334043	0 4 46 88 120 130 148 184 210 246 264 274 306 348 390 394	-445518118048
STPT(10)	919490491974371927	0 2 30 32 42 44 54 56 84 86	-386690080164
SPT(16)	919490636511013291	0 60 76 106 148 238 258 280 288 310 330 420 462 492 508 568	-242153438800
SPT(16)	919491071183311981	0 6 16 28 30 48 76 118 120 162 190 208 210 222 232 238	192518859890
SPT(16)	919491340526660387	0 2 26 50 56 72 80 92 114 126 134 150 156 180 204 206	461862208296
SPT(16)	919491369301005647	0 20 32 84 170 180 222 252 254 284 326 336 422 474 486 506	490636553556
STPT(10)	919491627072362189	0 2 18 20 30 32 42 44 60 62	748407910098
SPT(16)	919491636988613281	0 6 88 102 120 130 132 190 258 316 318 328 346 360 442 448	758324161190