Prime p₀= 1086949511966198537 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 106 2 28 2 40 2 46 2 10 2 (?)
a_n: 0 2 42 44 150 152 180 182 222 224 270 272 282 284
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: 284
Found by: [SG]ATA-Rolf
db: batch=76, k=14, 40 106 28 40 46 10

SPT(16)	1086947999668809959	0 20 32 108 132 134 150 158 174 182 198 200 224 300 312 332	-1512297388578
SPT(16)	1086948179151127129	0 40 42 64 72 88 114 168 184 238 264 280 288 310 312 352	-1332815071408
STPT(10)	1086948779435493851	0 2 30 32 60 62 90 92 120 122	-732530704686
TPT(14)	1086948901977960191	0 2 60 62 156 158 366 368 408 410 420 422 438 440	-609988238346
SPT(16)	1086948934871667929	0 68 90 132 140 158 162 174 188 200 204 222 230 272 294 362	-577094530608
STPT(10)	1086949023247794989	0 2 18 20 60 62 102 104 120 122	-488718403548
SPT(16)	1086949632722920091	0 6 20 26 56 66 80 102 110 132 146 156 186 192 206 212	120756721554
SPT(16)	1086949765220744599	0 10 52 58 82 94 118 142 150 174 198 210 234 240 282 292	253254546062
STPT(10)	1086949779012844457	0 2 12 14 42 44 72 74 84 86	267046645920
STPT(10)	1086950340956174447	0 2 30 32 42 44 54 56 84 86	828989975910
SPT(13)	1086950539516796377	0 54 90 120 132 150 192 234 252 264 294 330 384	1027550597840