Prime p₀= 1118108472358889567 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 28 2 64 2 10 2 16 2 (?)
a_n: 0 2 24 26 54 56 84 86 150 152 162 164 180 182
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: 182
Found by: stoneageman
db: batch=76, k=14, 22 28 28 64 10 16

SPT(16)	1118107680141012503	0 38 60 68 90 96 108 126 290 308 320 326 348 356 378 416	-792217877064
STPT(10)	1118107799274810101	0 2 6 8 18 20 30 32 36 38	-673084079466
STPT(10)	1118107901104492157	0 2 30 32 72 74 114 116 144 146	-571254397410
STPT(10)	1118108101865905061	0 2 6 8 18 20 30 32 36 38	-370492984506
SPT(16)	1118108160416475559	0 24 42 70 84 90 100 118 144 162 172 178 192 220 238 262	-311942414008
SPT(16)	1118108444359541639	0 2 42 68 78 92 98 102 110 114 120 134 144 170 210 212	-27999347928
TPT(14)	1118109353925311687	0 2 90 92 102 104 210 212 240 242 324 326 330 332	881566422120
SPT(16)	1118109393041733431	0 20 66 86 188 206 230 248 300 318 342 360 462 482 528 548	920682843864
STPT(10)	1118109455754696071	0 2 6 8 18 20 30 32 36 38	983395806504
STPT(10)	1118110112792382791	0 2 6 8 48 50 90 92 96 98	1640433493224
TPT(14)	1118110499378031659	0 2 78 80 90 92 162 164 192 194 210 212 222 224	2027019142092