Prime p₀= 2142458587554999029 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 16 2 58 2 130 2 16 2 40 2 (?)
a_n: 0 2 120 122 138 140 198 200 330 332 348 350 390 392
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: 392
Found by: Landjunge
db: batch=80, k=14, 118 16 58 130 16 40

STPT(10)	2142456974857013909	0 2 48 50 90 92 132 134 180 182	-1612697985120
STPT(10)	2142456979516170011	0 2 30 32 78 80 126 128 156 158	-1608038829018
SPT(16)	2142457142275741337	0 2 36 44 54 74 120 132 224 236 282 302 312 320 354 356	-1445279257692
SPT(16)	2142457259641758079	0 12 42 48 82 100 108 118 132 142 150 168 202 208 238 250	-1327913240950
STPT(10)	2142457601965679819	0 2 42 44 60 62 78 80 120 122	-985589319210
SPT(16)	2142457821700005917	0 20 30 56 84 90 104 206 384 486 500 506 534 560 570 590	-765854993112
SPT(16)	2142458946871081829	0 12 60 72 74 90 92 132 182 222 224 240 242 254 302 314	359316082800
STPT(10)	2142458997009212249	0 2 18 20 30 32 42 44 60 62	409454213220
STPT(10)	2142459707704338689	0 2 42 44 60 62 78 80 120 122	1120149339660
SPT(16)	2142459994938462763	0 4 36 48 54 90 130 160 174 204 244 280 286 298 330 334	1407383463734
STPT(10)	2142460370658196397	0 2 12 14 42 44 72 74 84 86	1783103197368