Prime p₀= 2676359005331450651 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 40 2 34 2 28 2 10 2 16 2 (?)
a_n: 0 2 78 80 120 122 156 158 186 188 198 200 216 218
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: 218
Found by: Asgard2022
db: batch=82, k=14, 76 40 34 28 10 16

SPT(16)	2676357094042226633	0 54 80 86 104 150 210 216 254 260 320 366 384 390 416 470	-1911289224018
STPT(10)	2676357319739839031	0 2 6 8 18 20 30 32 36 38	-1685591611620
SPT(16)	2676357400225527989	0 38 62 110 150 152 158 180 230 252 258 260 300 348 372 410	-1605105922662
STPT(10)	2676357575285684369	0 2 48 50 60 62 72 74 120 122	-1430045766282
STPT(10)	2676357801522323921	0 2 30 32 60 62 90 92 120 122	-1203809126730
SPT(16)	2676358479589603937	0 30 32 36 50 62 72 102 104 134 144 156 170 174 176 206	-525741846714
STPT(10)	2676359038467179621	0 2 6 8 48 50 90 92 96 98	33135728970
SPT(16)	2676359139127597349	0 72 90 114 128 150 164 180 242 258 272 294 308 332 350 422	133796146698
SPT(16)	2676359275615504733	0 30 44 144 174 216 248 260 324 336 368 410 440 540 554 584	270284054082
SPT(16)	2676359356447795691	0 18 26 38 56 98 102 150 158 206 210 252 270 282 290 308	351116345040
STPT(10)	2676359570352473189	0 2 30 32 60 62 90 92 120 122	565021022538