Prime p₀= 1058150167414837067 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 10 2 10 2 28 2 16 2 (?)
a_n: 0 2 30 32 60 62 72 74 84 86 114 116 132 134
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: 134
Found by: Theadalus
db: batch=76, k=14, 28 28 10 10 28 16

TPT(14)	1058148842540507567	0 2 42 44 54 56 132 134 180 182 192 194 210 212	-1324874329500
STPT(10)	1058149233445541021	0 2 36 38 78 80 120 122 156 158	-933969296046
TPT(14)	1058149299853922831	0 2 36 38 60 62 78 80 156 158 168 170 258 260	-867560914236
SPT(16)	1058149662356148863	0 44 50 74 78 144 156 174 380 398 410 476 480 504 510 554	-505058688204
STPT(10)	1058149758556152011	0 2 36 38 78 80 120 122 156 158	-408858685056
STPT(10)	1058150079659977361	0 2 30 32 78 80 126 128 156 158	-87754859706
STPT(10)	1058150167414837097	0 2 30 32 42 44 54 56 84 86	30
STPT(10)	1058150498190963449	0 2 18 20 30 32 42 44 60 62	330776126382
SPT(16)	1058150526725246873	0 20 78 80 90 114 156 158 216 218 260 284 294 296 354 374	359310409806
SPT(16)	1058150603653040771	0 60 80 98 108 170 186 188 210 212 228 290 300 318 338 398	436238203704
SPT(16)	1058150841943552433	0 24 38 86 116 126 150 206 228 284 308 318 348 396 410 434	674528715366