Prime p₀= 1986527871745829369 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 58 2 34 2 100 2 28 2 10 2 (?)
a_n: 0 2 42 44 102 104 138 140 240 242 270 272 282 284
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: 284
Found by: Landjunge
db: batch=80, k=14, 40 58 34 100 28 10

SPT(16)	1986526834551293849	0 12 38 72 80 122 138 140 180 182 198 240 248 282 308 320	-1037194535520
STPT(10)	1986527499749678057	0 2 12 14 42 44 72 74 84 86	-371996151312
SPT(16)	1986527677777019983	0 6 16 46 64 78 88 90 154 156 166 180 198 228 238 244	-193968809386
SPT(16)	1986527684329542649	0 12 18 22 52 78 124 142 150 168 214 240 270 274 280 292	-187416286720
SPT(16)	1986527697527177587	0 4 6 24 40 60 102 126 310 334 376 396 412 430 432 436	-174218651782
SPT(16)	1986527707321178257	0 22 52 60 132 166 186 190 192 196 216 250 322 330 360 382	-164424651112
STPT(10)	1986527952553103117	0 2 12 14 72 74 132 134 144 146	80807273748
SPT(16)	1986528030863352881	0 50 56 78 80 108 116 120 146 150 158 186 188 210 216 266	159117523512
STPT(10)	1986528057487867709	0 2 12 14 30 32 48 50 60 62	185742038340
STPT(10)	1986528190476105719	0 2 18 20 60 62 102 104 120 122	318730276350
SPT(16)	1986528205618495103	0 50 54 104 110 116 174 186 218 230 288 294 300 350 354 404	333872665734