Prime p₀= 2576091087659650787 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 4 2 82 2 46 2 88 2 40 2 (?)
a_n: 0 2 114 116 120 122 204 206 252 254 342 344 384 386
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: 386
Found by: RFGuy_KCCO
db: batch=82, k=14, 112 4 82 46 88 40

SPT(16)	2576089291720258199	0 2 32 54 134 162 174 182 300 308 320 348 428 450 480 482	-1795939392588
SPT(16)	2576089348766642063	0 116 144 146 158 174 186 200 234 248 260 276 288 290 318 434	-1738893008724
STPT(10)	2576089559883307607	0 2 42 44 72 74 102 104 144 146	-1527776343180
SPT(16)	2576089646812361399	0 20 24 42 44 54 68 102 110 144 158 168 170 188 192 212	-1440847289388
SPT(16)	2576090085997844539	0 30 84 102 112 114 132 180 274 322 340 342 352 370 424 454	-1001661806248
STPT(10)	2576090958630534731	0 2 78 80 138 140 198 200 276 278	-129029116056
STPT(10)	2576091356315547797	0 2 24 26 42 44 60 62 84 86	268655897010
STPT(10)	2576091569858661521	0 2 6 8 18 20 30 32 36 38	482199010734
TPT(14)	2576091917511150989	0 2 12 14 42 44 108 110 222 224 228 230 252 254	829851500202
STPT(10)	2576092108471441517	0 2 60 62 72 74 84 86 144 146	1020811790730
SPT(16)	2576092484166221269	0 18 28 34 54 60 100 130 168 198 238 244 264 270 280 298	1396506570482