Prime p₀= 1044548973738931091 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 46 2 16 2 10 2 16 2 40 2 (?)
a_n: 0 2 90 92 138 140 156 158 168 170 186 188 228 230
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: 230
Found by: Theadalus
db: batch=76, k=14, 88 46 16 10 16 40

SPT(13)	1044546883176995789	0 24 54 90 108 138 174 210 240 258 294 324 348	-2090561935302
STPT(10)	1044546988543941941	0 2 36 38 78 80 120 122 156 158	-1985194989150
SPT(16)	1044547766405440279	0 28 90 112 120 142 154 160 162 168 180 202 210 232 294 322	-1207333490812
SPT(16)	1044548351088244399	0 12 40 52 70 90 102 108 154 160 172 192 210 222 250 262	-622650686692
STPT(10)	1044548590078954559	0 2 18 20 30 32 42 44 60 62	-383659976532
SPT(16)	1044548960522399723	0 24 44 128 144 158 188 198 200 210 240 254 270 354 374 398	-13216531368
STPT(10)	1044549120815429231	0 2 30 32 60 62 90 92 120 122	147076498140
STPT(10)	1044549226616945219	0 2 42 44 60 62 78 80 120 122	252878014128
STPT(10)	1044549276018113231	0 2 36 38 78 80 120 122 156 158	302279182140
SPT(16)	1044549372909586883	0 44 54 86 108 110 164 170 174 180 234 236 258 290 300 344	399170655792
SPT(16)	1044549661769966089	0 22 24 52 70 82 84 114 148 178 180 192 210 238 240 262	688031034998