Prime p₀= 1524474993489104927 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 52 2 88 2 34 2 58 2 10 2 (?)
a_n: 0 2 30 32 84 86 174 176 210 212 270 272 282 284
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: 284
Found by: crashtech
db: batch=78, k=14, 28 52 88 34 58 10

SPT(16)	1524474150098802241	0 16 82 96 100 108 150 162 196 208 250 258 262 276 342 358	-843390302686
STPT(10)	1524474684434480039	0 2 48 50 60 62 72 74 120 122	-309054624888
SPT(16)	1524474686354012161	0 6 10 18 28 48 66 90 136 160 178 198 208 216 220 226	-307135092766
SPT(16)	1524474691956453889	0 12 18 40 54 72 78 142 150 214 220 238 252 274 280 292	-301532651038
SPT(16)	1524474904551609599	0 42 44 68 110 144 164 168 194 198 218 252 294 318 320 362	-88937495328
STPT(10)	1524474942935324801	0 2 36 38 78 80 120 122 156 158	-50553780126
SPT(16)	1524475674212331943	0 40 46 114 126 168 186 198 226 238 256 298 310 378 384 424	680723227016
SPT(16)	1524476167564877161	0 12 22 82 90 96 126 138 160 172 202 208 216 276 286 298	1174075772234
SPT(16)	1524476233517718167	0 14 24 56 84 92 96 120 266 290 294 302 330 362 372 386	1240028613240
STPT(10)	1524476336783884481	0 2 6 8 48 50 90 92 96 98	1343294779554
TPT(16)	1524476599577327351	0 2 90 92 126 128 228 230 270 272 366 368 378 380 390 392	1606088222424