Prime p₀= 1182644109411584231 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 28 2 148 2 28 2 142 2 28 2 (?)
a_n: 0 2 96 98 126 128 276 278 306 308 450 452 480 482
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: 482
Found by: Theadalus
db: batch=77, k=14, 94 28 148 28 142 28

SPT(16)	1182643123170414803	0 30 80 86 108 156 164 176 198 210 218 266 288 294 344 374	-986241169428
SPT(16)	1182643286637116989	0 40 60 70 90 94 138 198 280 340 384 388 408 418 438 478	-822774467242
STPT(10)	1182643408316582657	0 2 30 32 42 44 54 56 84 86	-701095001574
STPT(12)	1182643557694709441	0 2 36 38 48 50 78 80 90 92 126 128	-551716874790
SPT(16)	1182643782020819497	0 4 36 54 66 84 100 124 126 150 166 184 196 214 246 250	-327390764734
STPT(10)	1182644104821223739	0 2 30 32 60 62 90 92 120 122	-4590360492
STPT(10)	1182644452177593047	0 2 30 32 42 44 54 56 84 86	342766008816
STPT(10)	1182644640868006871	0 2 36 38 78 80 120 122 156 158	531456422640
SPT(16)	1182644703248673199	0 10 34 40 78 100 124 220 222 318 342 364 402 408 432 442	593837088968
SPT(16)	1182644817798156109	0 18 42 52 102 112 130 154 168 192 210 220 270 280 304 322	708386571878
TPT(14)	1182645392138858801	0 2 18 20 30 32 150 152 156 158 168 170 180 182	1282727274570