Prime p₀= 1919579561337492419 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 4 2 58 2 40 2 40 2 28 2 (?)
a_n: 0 2 72 74 78 80 138 140 180 182 222 224 252 254
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: 254
Found by: Landjunge
db: batch=80, k=14, 70 4 58 40 40 28

SPT(16)	1919578127941415647	0 6 12 76 90 96 144 210 556 622 670 676 690 754 760 766	-1433396076772
STPT(10)	1919578570268019641	0 2 30 32 78 80 126 128 156 158	-991069472778
SPT(16)	1919578592744087377	0 22 34 60 72 82 90 130 156 196 204 214 226 252 264 286	-968593405042
SPT(16)	1919578876310265419	0 8 20 98 134 144 218 222 260 264 338 348 384 462 474 482	-685027227000
STPT(10)	1919579216657794997	0 2 30 32 42 44 54 56 84 86	-344679697422
STPT(10)	1919579319996573659	0 2 48 50 90 92 132 134 180 182	-241340918760
SPT(16)	1919579650532492551	0 12 16 36 66 82 100 102 106 108 126 142 172 192 196 208	89195000132
STPT(10)	1919579753730286559	0 2 18 20 30 32 42 44 60 62	192392794140
SPT(16)	1919579908949409583	0 6 16 30 66 90 108 148 156 196 214 238 274 288 298 304	347611917164
SPT(16)	1919579917765242377	0 24 30 72 110 162 164 194 210 240 242 294 332 374 380 404	356427749958
TPT(14)	1919579963316231869	0 2 48 50 90 92 120 122 168 170 198 200 252 254	401978739450