Prime p₀= 1526927414242505267 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 46 2 88 2 16 2 10 2 40 2 (?)
a_n: 0 2 54 56 102 104 192 194 210 212 222 224 264 266
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: crashtech
db: batch=78, k=14, 52 46 88 16 10 40

SPT(16)	1526926858570835419	0 10 34 78 124 132 154 162 220 228 250 258 304 348 372 382	-555671669848
SPT(16)	1526926859626164109	0 12 18 28 78 88 130 142 168 180 222 232 282 292 298 310	-554616341158
STPT(10)	1526927065955956331	0 2 6 8 18 20 30 32 36 38	-348286548936
SPT(16)	1526927144186892233	0 24 38 44 74 86 126 140 144 158 198 210 240 246 260 284	-270055613034
STPT(10)	1526927164042911947	0 2 30 32 42 44 54 56 84 86	-250199593320
SPT(16)	1526927286727688213	0 56 60 78 120 128 146 170 186 210 228 236 278 296 300 356	-127514817054
SPT(16)	1526927496406867889	0 38 78 80 120 122 158 168 182 192 228 230 270 272 312 350	82164362622
SPT(16)	1526927631140374423	0 48 60 64 90 94 178 184 204 210 294 298 324 328 340 388	216897869156
STPT(10)	1526928336122629409	0 2 12 14 30 32 48 50 60 62	921880124142
STPT(10)	1526928350908383251	0 2 6 8 48 50 90 92 96 98	936665877984
SPT(16)	1526928648829102369	0 12 34 48 70 90 100 138 184 222 232 252 274 288 310 322	1234586597102