Prime p₀= 1018401628221337979 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 64 2 100 2 10 2 124 2 22 2 (?)
a_n: 0 2 12 14 78 80 180 182 192 194 318 320 342 344
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: 344
Found by: stoneageman
db: batch=76, k=14, 10 64 100 10 124 22

TPT(14)	1018399706317722269	0 2 30 32 60 62 78 80 132 134 162 164 270 272	-1921903615710
SPT(16)	1018399916045562019	0 54 58 90 100 118 124 138 184 198 204 222 232 264 268 322	-1712175775960
SPT(16)	1018399924850773559	0 14 92 128 152 198 204 212 300 308 314 360 384 420 498 512	-1703370564420
STPT(10)	1018400055414230297	0 2 54 56 72 74 90 92 144 146	-1572807107682
STPT(10)	1018400093693974889	0 2 18 20 60 62 102 104 120 122	-1534527363090
SPT(20)	1018400777953780579	0 22 52 120 124 138 144 150 208 234 268 294 352 358 364 378 382 450 480 502	-850267557400
SPT(16)	1018401739003468933	0 16 100 114 120 126 136 198 226 288 298 304 310 324 408 424	110782130954
SPT(16)	1018401905842359391	0 36 52 90 96 160 162 166 192 196 198 262 268 306 322 358	277621021412
STPT(10)	1018401987436067279	0 2 12 14 90 92 168 170 180 182	359214729300
STPT(10)	1018402053963404021	0 2 6 8 18 20 30 32 36 38	425742066042
SPT(16)	1018402608278080789	0 10 52 64 84 144 148 150 232 234 238 298 318 330 372 382	980056742810