Prime p₀= 1263648488986775819 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 22 2 94 2 40 2 40 2 (?)
a_n: 0 2 30 32 48 50 72 74 168 170 210 212 252 254
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: rlacr
db: batch=77, k=14, 28 16 22 94 40 40

SPT(16)	1263647441416713151	0 16 22 108 112 120 126 130 168 172 178 186 190 276 282 298	-1047570062668
SPT(16)	1263647494043032919	0 8 14 32 60 120 122 164 168 210 212 272 300 318 324 332	-994943742900
STPT(10)	1263647631219136481	0 2 48 50 108 110 168 170 216 218	-857767639338
SPT(16)	1263648098314501087	0 6 34 42 70 90 94 100 126 132 136 156 184 192 220 226	-390672274732
STPT(10)	1263648464787149471	0 2 30 32 60 62 90 92 120 122	-24199626348
STPT(10)	1263648476968200131	0 2 6 8 48 50 90 92 96 98	-12018575688
STPT(10)	1263648669284370527	0 2 12 14 72 74 132 134 144 146	180297594708
SPT(16)	1263649197205272419	0 42 50 62 68 72 114 120 182 188 230 234 240 252 260 302	708218496600
STPT(10)	1263649554342164147	0 2 30 32 72 74 114 116 144 146	1065355388328
SPT(16)	1263649632646232687	0 56 86 102 104 116 140 164 192 216 240 252 254 270 300 356	1143659456868
STPT(10)	1263650429899926119	0 2 18 20 30 32 42 44 60 62	1940913150300