Prime p₀= 1167551183812270727 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 10 2 16 2 10 2 34 2 (?)
a_n: 0 2 30 32 42 44 54 56 72 74 84 86 120 122
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: 122
Found by: xii5ku
db: batch=77, k=14, 28 10 10 16 10 34

SPT(16)	1167549783813065801	0 2 42 80 120 126 156 162 170 176 206 212 252 290 330 332	-1399999204926
STPT(10)	1167549890720104061	0 2 30 32 120 122 210 212 240 242	-1293092166666
STPT(10)	1167550085695319111	0 2 30 32 60 62 90 92 120 122	-1098116951616
SPT(16)	1167550178218597123	0 46 100 150 174 178 184 186 208 210 216 220 244 294 348 394	-1005593673604
SPT(16)	1167550573968373169	0 38 42 54 78 80 98 134 168 204 222 224 248 260 264 302	-609843897558
SPT(16)	1167550666184382163	0 10 36 54 66 76 84 118 126 160 168 178 190 208 234 244	-517627888564
SPT(16)	1167551414544399083	0 14 30 36 44 56 90 110 114 134 168 180 188 194 210 224	230732128356
STPT(10)	1167551577986473619	0 2 42 44 60 62 78 80 120 122	394174202892
SPT(16)	1167551600002416319	0 28 34 42 84 94 138 148 264 274 318 328 370 378 384 412	416190145592
SPT(16)	1167552227878371121	0 10 90 106 108 150 160 178 180 198 208 250 252 268 348 358	1044066100394
SPT(16)	1167552258115119571	0 18 22 52 78 100 142 156 232 246 288 310 336 366 370 388	1074302848844