Prime p₀= 1999399480187263697 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 58 2 16 2 118 2 10 2 (?)
a_n: 0 2 12 14 54 56 114 116 132 134 252 254 264 266
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: 266
Found by: Landjunge
db: batch=80, k=14, 10 40 58 16 118 10

SPT(16)	1999397426817798811	0 12 30 42 46 52 66 96 172 202 216 222 226 238 256 268	-2053369464886
STPT(10)	1999397472261884867	0 2 42 44 72 74 102 104 144 146	-2007925378830
SPT(16)	1999398122304002527	0 6 24 66 70 84 100 136 150 186 202 216 220 262 280 286	-1357883261170
STPT(10)	1999398637350094889	0 2 18 20 30 32 42 44 60 62	-842837168808
STPT(10)	1999398797630186549	0 2 42 44 60 62 78 80 120 122	-682557077148
SPT(16)	1999398817320116077	0 4 54 60 66 94 144 160 180 196 246 274 280 286 336 340	-662867147620
SPT(16)	1999399602762289789	0 48 54 64 112 150 154 178 204 228 232 270 318 328 334 382	122575026092
STPT(10)	1999399889797364111	0 2 36 38 78 80 120 122 156 158	409610100414
SPT(16)	1999400303150998747	0 16 54 72 94 142 150 156 220 226 234 282 304 322 360 376	822963735050
SPT(16)	1999400347318132621	0 30 42 90 148 198 202 220 258 276 280 330 388 436 448 478	867130868924
STPT(10)	1999400723779437029	0 2 18 20 30 32 42 44 60 62	1243592173332