Prime p₀= 2013692317190778767 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 16 2 40 2 4 2 28 2 52 2 (?)
a_n: 0 2 114 116 132 134 174 176 180 182 210 212 264 266
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: 266
Found by: Chooka
db: batch=80, k=14, 112 16 40 4 28 52

STPT(10)	2013690467266417307	0 2 30 32 42 44 54 56 84 86	-1849924361460
SPT(16)	2013691080203702623	0 58 94 114 118 150 184 198 220 234 268 300 304 324 360 418	-1236987076144
STPT(10)	2013691351823646161	0 2 6 8 18 20 30 32 36 38	-965367132606
SPT(16)	2013691714099449079	0 10 28 70 124 174 190 192 220 222 238 288 342 384 402 412	-603091329688
SPT(16)	2013691768571115797	0 14 24 30 80 86 90 104 132 146 150 156 206 212 222 236	-548619662970
STPT(10)	2013691942904062217	0 2 30 32 42 44 54 56 84 86	-374286716550
STPT(10)	2013692437036410761	0 2 36 38 78 80 120 122 156 158	119845631994
SPT(16)	2013692530838717461	0 10 46 52 120 162 168 196 252 280 286 328 396 402 438 448	213647938694
SPT(16)	2013692555527490753	0 68 144 156 164 168 174 194 270 290 296 300 308 320 396 464	238336711986
SPT(16)	2013692752673479541	0 6 68 80 126 132 146 158 180 192 206 212 258 270 332 338	435482700774
SPT(16)	2013692949977334919	0 12 52 90 130 144 160 174 178 192 208 222 262 300 340 352	632786556152