Prime p₀= 1971769340257378637 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 40 2 46 2 70 2 124 2 (?)
a_n: 0 2 24 26 42 44 84 86 132 134 204 206 330 332
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: 332
Found by: eclipse99
db: batch=80, k=14, 22 16 40 46 70 124

SPT(16)	1971768400832628257	0 2 12 54 72 80 90 114 122 146 156 164 182 224 234 236	-939424750380
SPT(16)	1971768436555740281	0 8 18 86 110 116 140 158 180 198 222 228 252 320 330 338	-903701638356
STPT(10)	1971768441014770997	0 2 30 32 42 44 54 56 84 86	-899242607640
SPT(16)	1971768629276955913	0 10 28 46 48 88 94 120 244 270 276 316 318 336 354 364	-710980422724
SPT(16)	1971769169769379289	0 60 108 138 140 144 152 222 290 360 368 372 374 404 452 512	-170487999348
STPT(10)	1971769325462957717	0 2 12 14 72 74 132 134 144 146	-14794420920
STPT(10)	1971769403607845447	0 2 60 62 72 74 84 86 144 146	63350466810
STPT(10)	1971769420177204931	0 2 6 8 48 50 90 92 96 98	79919826294
SPT(16)	1971769424975320661	0 18 20 32 56 62 96 98 150 152 186 192 216 228 230 248	84717942024
SPT(16)	1971769553032185953	0 36 56 98 120 156 170 204 230 264 278 314 336 378 398 434	212774807316
STPT(10)	1971769817406675887	0 2 30 32 42 44 54 56 84 86	477149297250