Prime p₀= 1115113098470818019 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 64 2 58 2 22 2 88 2 (?)
a_n: 0 2 60 62 72 74 138 140 198 200 222 224 312 314
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: 314
Found by: Theadalus
db: batch=76, k=14, 58 10 64 58 22 88

STPT(10)	1115111793725990897	0 2 12 14 72 74 132 134 144 146	-1304744827122
SPT(16)	1115111865384796283	0 30 36 90 114 116 140 144 170 174 198 200 224 278 284 314	-1233086021736
SPT(16)	1115111971307425547	0 36 54 80 84 86 114 140 180 206 234 236 240 266 284 320	-1127163392472
STPT(10)	1115112154794447581	0 2 30 32 78 80 126 128 156 158	-943676370438
STPT(10)	1115112559239448739	0 2 12 14 30 32 48 50 60 62	-539231369280
TPT(14)	1115112704887995659	0 2 180 182 240 242 378 380 390 392 432 434 492 494	-393582822360
STPT(10)	1115113170054648431	0 2 6 8 18 20 30 32 36 38	71583830412
SPT(16)	1115113341310821239	0 8 44 50 78 84 102 140 192 230 248 254 282 288 324 332	242840003220
SPT(16)	1115113412131358383	0 6 34 76 94 100 106 150 160 204 210 216 234 276 304 310	313660540364
TPT(14)	1115113504172256857	0 2 72 74 102 104 162 164 240 242 270 272 300 302	405701438838
TPT(14)	1115113579366281401	0 2 18 20 156 158 168 170 228 230 240 242 258 260	480895463382