Prime p₀= 3282053785785172217 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 76 2 28 2 52 2 16 2 (?)
a_n: 0 2 30 32 42 44 120 122 150 152 204 206 222 224
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: 224
Found by: herby44
db: batch=83, k=14, 28 10 76 28 52 16

SPT(16)	3282051789483055871	0 38 66 72 78 128 146 150 188 192 210 260 266 272 300 338	-1996302116346
STPT(10)	3282051951727904207	0 2 30 32 72 74 114 116 144 146	-1834057268010
TPT(14)	3282052935378039671	0 2 30 32 90 92 120 122 186 188 246 248 270 272	-850407132546
SPT(16)	3282053352934068239	0 20 62 98 102 134 140 198 314 372 378 410 414 450 492 512	-432851103978
STPT(10)	3282053419720655651	0 2 30 32 78 80 126 128 156 158	-366064516566
SPT(16)	3282053579085230629	0 12 30 52 58 64 120 138 154 172 228 234 240 262 280 292	-206699941588
STPT(12)	3282053973886313147	0 2 12 14 90 92 132 134 210 212 222 224	188101140930
SPT(16)	3282054749952207839	0 2 74 78 180 224 252 284 498 530 558 602 704 708 780 782	964167035622
SPT(16)	3282055174184245819	0 40 42 48 52 112 120 142 258 280 288 348 352 358 360 400	1388399073602
STPT(10)	3282055206981199247	0 2 30 32 42 44 54 56 84 86	1421196027030
STPT(10)	3282055726611532901	0 2 30 32 60 62 90 92 120 122	1940826360684