Prime p₀= 2528746261294647299 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 34 2 40 2 16 2 112 2 (?)
a_n: 0 2 12 14 42 44 78 80 120 122 138 140 252 254
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: Penguin
db: batch=82, k=14, 10 28 34 40 16 112

STPT(10)	2528742836434523711	0 2 30 32 60 62 90 92 120 122	-3424860123588
STPT(10)	2528744432142929447	0 2 42 44 72 74 102 104 144 146	-1829151717852
SPT(20)	2528744465453247499	0 24 30 78 118 132 138 148 204 208 234 238 294 304 310 324 364 412 418 442	-1795841399800
SPT(16)	2528744707428836503	0 6 40 54 106 126 166 180 244 258 298 318 370 384 418 424	-1553865810796
SPT(16)	2528745183572859019	0 10 18 40 82 88 222 228 244 250 384 390 432 454 462 472	-1077721788280
STPT(10)	2528745594138799199	0 2 48 50 90 92 132 134 180 182	-667155848100
STPT(10)	2528747050498295657	0 2 30 32 60 62 90 92 120 122	789203648358
SPT(16)	2528747239914000283	0 16 58 70 76 94 96 106 168 178 180 198 204 216 258 274	978619352984
SPT(16)	2528747513715407557	0 34 52 66 100 130 192 216 280 304 366 396 430 444 462 496	1252420760258
STPT(10)	2528747528651360741	0 2 6 8 48 50 90 92 96 98	1267356713442
SPT(16)	2528748324048320147	0 14 30 42 50 54 56 72 74 90 92 96 104 116 132 146	2062753672848