Prime p₀= 2446351265444292707 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 10 2 34 2 52 2 28 2 (?)
a_n: 0 2 12 14 42 44 54 56 90 92 144 146 174 176
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: 176
Found by: JayPi
db: batch=82, k=14, 10 28 10 34 52 28

SPT(16)	2446349685901099361	0 36 56 66 78 126 146 168 188 210 230 278 290 300 320 356	-1579543193346
SPT(16)	2446349926922269597	0 12 82 160 172 204 210 232 234 256 262 294 306 384 454 466	-1338522023110
SPT(16)	2446350071671298041	0 6 22 88 112 120 130 132 196 198 208 216 240 306 322 328	-1193772994666
TPT(14)	2446350377545320221	0 2 48 50 150 152 180 182 258 260 306 308 330 332	-887898972486
STPT(12)	2446351061687200517	0 2 24 26 42 44 192 194 210 212 234 236	-203757092190
SPT(16)	2446351125727263961	0 12 52 66 70 76 100 136 156 192 216 222 226 240 280 292	-139717028746
SPT(16)	2446351313054314187	0 12 14 20 74 96 104 110 126 132 140 162 216 222 224 236	47610021480
STPT(10)	2446351427340141017	0 2 12 14 72 74 132 134 144 146	161895848310
STPT(10)	2446351667657159189	0 2 12 14 90 92 168 170 180 182	402212866482
SPT(16)	2446351775506656793	0 10 24 34 54 76 130 154 156 180 234 256 276 286 300 310	510062364086
STPT(10)	2446352007222559529	0 2 30 32 60 62 90 92 120 122	741778266822