Prime p₀= 3327099274151836301 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 10 2 40 2 46 2 10 2 64 2 (?)
a_n: 0 2 126 128 138 140 180 182 228 230 240 242 306 308
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: 308
Found by: [SG-2W]Kurzer
db: batch=83, k=14, 124 10 40 46 10 64

SPT(16)	3327098152731665881	0 6 46 48 70 90 100 130 186 216 226 246 268 270 310 316	-1121420170420
SPT(16)	3327098481238927729	0 60 64 70 78 112 138 144 148 154 180 214 222 228 232 292	-792912908572
SPT(16)	3327099100394913353	0 30 44 86 96 174 180 186 224 230 236 314 324 366 380 410	-173756922948
SPT(16)	3327099168514143103	0 6 28 70 124 138 184 196 228 240 286 300 354 396 418 424	-105637693198
SPT(16)	3327099193694192353	0 64 108 114 136 166 196 216 268 288 318 348 370 376 420 484	-80457643948
STPT(10)	3327099224430653897	0 2 30 32 42 44 54 56 84 86	-49721182404
SPT(16)	3327099317550602927	0 20 32 36 42 86 90 120 182 212 216 260 266 270 282 302	43398766626
STPT(10)	3327099655220000741	0 2 6 8 48 50 90 92 96 98	381068164440
STPT(10)	3327099730300722161	0 2 36 38 78 80 120 122 156 158	456148885860
SPT(16)	3327100126041040109	0 60 78 92 144 164 168 182 210 224 228 248 300 314 332 392	851889203808
SPT(16)	3327101224746811999	0 40 84 130 142 148 154 168 244 258 264 270 282 328 372 412	1950594975698