Prime p₀= 2117127234659672171 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 4 2 70 2 40 2 4 2 10 2 (?)
a_n: 0 2 60 62 66 68 138 140 180 182 186 188 198 200
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: 200
Found by: Landjunge
db: batch=80, k=14, 58 4 70 40 4 10

SPT(16)	2117125471848342107	0 12 20 42 92 96 120 122 150 152 176 180 230 252 260 272	-1762811330064
STPT(10)	2117125896944754467	0 2 30 32 72 74 114 116 144 146	-1337714917704
SPT(16)	2117126462903212603	0 30 36 76 90 120 148 156 160 168 196 226 240 280 286 316	-771756459568
SPT(16)	2117126594472935933	0 20 60 116 180 206 210 236 264 290 294 320 384 440 480 500	-640186736238
STPT(10)	2117126614084328771	0 2 108 110 138 140 168 170 276 278	-620575343400
SPT(16)	2117126671170406087	0 10 54 76 82 310 342 360 376 394 426 654 660 682 726 736	-563489266084
STPT(12)	2117127368620948361	0 2 30 32 60 62 108 110 138 140 168 170	133961276190
SPT(16)	2117127480898644407	0 56 92 102 110 114 116 144 152 180 182 186 194 204 240 296	246238972236
TPT(14)	2117127674644188719	0 2 60 62 78 80 102 104 120 122 162 164 168 170	439984516548
SPT(16)	2117127842701287379	0 10 34 54 60 90 108 124 174 190 208 238 244 264 288 298	608041615208
STPT(10)	2117127902467600571	0 2 6 8 48 50 90 92 96 98	667807928400