Prime p₀= 1177582610310681557 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 34 2 40 2 46 2 28 2 22 2 (?)
a_n: 0 2 54 56 90 92 132 134 180 182 210 212 234 236
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: 236
Found by: vinn@[CNT]
db: batch=77, k=14, 52 34 40 46 28 22

SPT(16)	1177580969335710449	0 42 68 80 98 110 144 158 174 188 222 234 252 264 290 332	-1640974971108
SPT(20)	1177581160630974361	0 16 22 30 42 58 118 148 162 166 282 286 300 330 390 406 418 426 432 448	-1449679707196
SPT(16)	1177581247741242811	0 42 70 82 90 96 126 180 232 286 316 322 330 342 370 412	-1362569438746
SPT(16)	1177581571325032537	0 6 46 60 160 196 214 222 244 252 270 306 406 420 460 466	-1038985649020
SPT(16)	1177581760615173439	0 12 40 54 78 82 148 162 190 204 270 274 298 312 340 352	-849695508118
STPT(10)	1177581901805742479	0 2 48 50 90 92 132 134 180 182	-708504939078
SPT(16)	1177582683417068407	0 30 64 76 100 114 120 154 162 196 202 216 240 252 286 316	73106386850
SPT(16)	1177582792164006331	0 6 36 46 70 76 88 96 160 168 180 186 210 220 250 256	181853324774
SPT(16)	1177582908134150333	0 8 30 48 74 78 84 90 98 104 110 114 140 158 180 188	297823468776
SPT(16)	1177583439224711111	0 20 62 68 110 120 126 150 218 242 248 258 300 306 348 368	828914029554
STPT(10)	1177583674705096187	0 2 12 14 42 44 72 74 84 86	1064394414630