Prime p₀= 1016526169221418781 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 28 2 34 2 28 2 10 2 (?)
a_n: 0 2 78 80 90 92 120 122 156 158 186 188 198 200
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: 200
Found by: stoneageman
db: batch=76, k=14, 76 10 28 34 28 10

STPT(10)	1016525566657972277	0 2 54 56 132 134 210 212 264 266	-602563446504
STPT(10)	1016525573689179527	0 2 30 32 42 44 54 56 84 86	-595532239254
SPT(16)	1016525616915905639	0 8 20 30 72 98 144 182 300 338 384 410 452 462 474 482	-552305513142
SPT(16)	1016525640426968183	0 26 50 66 68 140 158 200 204 246 264 336 338 354 378 404	-528794450598
SPT(16)	1016525793083647739	0 48 50 62 90 92 138 158 204 224 270 272 300 312 314 362	-376137771042
STPT(10)	1016525914982074571	0 2 6 8 48 50 90 92 96 98	-254239344210
STPT(12)	1016526169221418859	0 2 12 14 42 44 78 80 108 110 120 122	78
SPT(16)	1016526233783249551	0 10 66 82 148 180 190 252 256 318 328 360 426 442 498 508	64561830770
SPT(16)	1016526288184218067	0 12 46 72 124 190 210 214 222 226 246 312 364 390 424 436	118962799286
TPT(14)	1016526529802147009	0 2 18 20 60 62 120 122 252 254 270 272 378 380	360580728228
SPT(16)	1016526691501203781	0 40 66 90 178 196 210 246 280 316 330 348 436 460 486 526	522279785000