Prime p₀= 1086948901977960191 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 94 2 208 2 40 2 10 2 16 2 (?)
a_n: 0 2 60 62 156 158 366 368 408 410 420 422 438 440
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: 440
Found by: [SG]ATA-Rolf
db: batch=76, k=14, 58 94 208 40 10 16

SPT(16)	1086947216876162813	0 8 14 26 110 120 140 146 168 174 194 204 288 300 306 314	-1685101797378
STPT(10)	1086947373832145009	0 2 18 20 30 32 42 44 60 62	-1528145815182
SPT(16)	1086947823371653213	0 10 24 34 36 66 148 168 196 216 298 328 330 340 354 364	-1078606306978
SPT(16)	1086947999668809959	0 20 32 108 132 134 150 158 174 182 198 200 224 300 312 332	-902309150232
SPT(16)	1086948179151127129	0 40 42 64 72 88 114 168 184 238 264 280 288 310 312 352	-722826833062
STPT(10)	1086948779435493851	0 2 30 32 60 62 90 92 120 122	-122542466340
SPT(16)	1086948934871667929	0 68 90 132 140 158 162 174 188 200 204 222 230 272 294 362	32893707738
STPT(10)	1086949023247794989	0 2 18 20 60 62 102 104 120 122	121269834798
TPT(14)	1086949511966198537	0 2 42 44 150 152 180 182 222 224 270 272 282 284	609988238346
SPT(16)	1086949632722920091	0 6 20 26 56 66 80 102 110 132 146 156 186 192 206 212	730744959900
SPT(16)	1086949765220744599	0 10 52 58 82 94 118 142 150 174 198 210 234 240 282 292	863242784408