Prime p₀= 1591472388399167999 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 40 2 34 2 58 2 10 2 28 2 (?)
a_n: 0 2 90 92 132 134 168 170 228 230 240 242 270 272
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: 272
Found by: xii5ku
db: batch=78, k=14, 88 40 34 58 10 28

STPT(10)	1591471120165140581	0 2 6 8 48 50 90 92 96 98	-1268234027418
STPT(10)	1591471230839418959	0 2 30 32 60 62 90 92 120 122	-1157559749040
SPT(16)	1591471640876603303	0 24 56 60 80 116 146 174 200 228 258 294 314 318 350 374	-747522564696
TPT(14)	1591471775521097777	0 2 114 116 150 152 234 236 264 266 270 272 324 326	-612878070222
SPT(18)	1591471790144575421	0 18 20 42 102 122 146 168 176 192 200 222 246 266 326 348 350 368	-598254592578
STPT(10)	1591471892088386837	0 2 42 44 72 74 102 104 144 146	-496310781162
STPT(10)	1591472797795955927	0 2 30 32 72 74 114 116 144 146	409396787928
STPT(10)	1591472816069224349	0 2 48 50 60 62 72 74 120 122	427670056350
SPT(16)	1591472823977158711	0 36 46 52 58 66 72 102 106 136 142 150 156 162 172 208	435577990712
SPT(16)	1591472992108943269	0 42 58 82 88 100 154 162 190 198 252 264 270 294 310 352	603709775270
SPT(16)	1591473420822322091	0 8 20 60 90 98 108 176 192 260 270 278 308 348 360 368	1032423154092