Prime p₀= 2576818839768585899 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 40 2 28 2 64 2 22 2 (?)
a_n: 0 2 48 50 60 62 102 104 132 134 198 200 222 224
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: RFGuy_KCCO
db: batch=82, k=14, 46 10 40 28 64 22

SPT(16)	2576816808876810023	0 38 54 60 80 84 90 168 170 248 254 258 278 284 300 338	-2030891775876
SPT(16)	2576816813595985307	0 44 54 132 156 182 216 254 282 320 354 380 404 482 492 536	-2026172600592
SPT(16)	2576817120543239477	0 12 44 54 114 164 182 222 224 264 282 332 392 402 434 446	-1719225346422
SPT(16)	2576817838962999197	0 2 14 44 60 152 192 200 264 272 312 404 420 450 462 464	-1000805586702
TPT(14)	2576818212077847251	0 2 48 50 180 182 246 248 306 308 378 380 390 392	-627690738648
STPT(10)	2576818750274839907	0 2 12 14 72 74 132 134 144 146	-89493745992
SPT(16)	2576819181798699239	0 12 48 68 84 122 150 174 188 212 240 278 294 314 350 362	342030113340
TPT(14)	2576819433799107149	0 2 48 50 72 74 102 104 228 230 288 290 300 302	594030521250
STPT(10)	2576819434605473087	0 2 30 32 60 62 90 92 120 122	594836887188
SPT(16)	2576819732464206949	0 12 58 118 144 234 244 258 304 318 328 418 444 504 550 562	892695621050
STPT(10)	2576819753545810427	0 2 12 14 132 134 252 254 264 266	913777224528