Prime p₀= 2071271671537537967 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 16 2 70 2 94 2 40 2 (?)
a_n: 0 2 12 14 24 26 42 44 114 116 210 212 252 254
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: 254
Found by: Landjunge
db: batch=80, k=14, 10 10 16 70 94 40

SPT(16)	2071270783942914317	0 56 66 80 86 96 102 114 152 164 170 180 186 200 210 266	-887594623650
SPT(16)	2071270795171108477	0 4 16 22 36 60 84 90 226 232 256 280 294 300 312 316	-876366429490
SPT(16)	2071271185429969381	0 36 40 70 82 96 106 150 232 276 286 300 312 342 346 382	-486107568586
STPT(10)	2071271202712741031	0 2 30 32 60 62 90 92 120 122	-468824796936
SPT(16)	2071271254588491973	0 30 76 78 84 94 124 136 138 150 180 190 196 198 244 274	-416949045994
SPT(16)	2071271381129426779	0 78 94 108 114 144 150 172 210 232 238 268 274 288 304 382	-290408111188
STPT(10)	2071272282752969477	0 2 30 32 42 44 54 56 84 86	611215431510
STPT(10)	2071272494376857381	0 2 36 38 78 80 120 122 156 158	822839319414
TPT(14)	2071272554254458557	0 2 30 32 60 62 114 116 162 164 312 314 330 332	882716920590
STPT(10)	2071272571000240427	0 2 30 32 42 44 54 56 84 86	899462702460
STPT(10)	2071272577722322571	0 2 36 38 78 80 120 122 156 158	906184784604