Prime p₀= 2941017882730752047 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 64 2 82 2 4 2 22 2 46 2 (?)
a_n: 0 2 84 86 150 152 234 236 240 242 264 266 312 314
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: 314
Found by: [SG-FC] hl
db: batch=82, k=14, 82 64 82 4 22 46

SPT(16)	2941016992778435381	0 20 38 42 90 96 108 122 126 140 152 158 206 210 228 248	-889952316666
SPT(16)	2941017340818543347	0 12 36 62 84 102 114 140 216 242 254 272 294 320 344 356	-541912208700
SPT(16)	2941017410478133211	0 12 36 68 78 92 120 128 150 158 186 200 210 242 266 278	-472252618836
SPT(16)	2941017568847981797	0 6 30 76 96 166 184 196 240 252 270 340 360 406 430 436	-313882770250
STPT(10)	2941017569536184987	0 2 30 32 60 62 90 92 120 122	-313194567060
SPT(16)	2941017800986608197	0 2 54 72 86 116 126 194 252 320 330 360 374 392 444 446	-81744143850
STPT(10)	2941018145158086809	0 2 12 14 30 32 48 50 60 62	262427334762
STPT(10)	2941018305979111427	0 2 24 26 42 44 60 62 84 86	423248359380
SPT(16)	2941018409921381411	0 12 26 66 108 128 140 152 156 168 180 200 242 282 296 308	527190629364
STPT(10)	2941018752888825899	0 2 42 44 90 92 138 140 180 182	870158073852
SPT(18)	2941018813686381359	0 12 18 72 122 128 138 150 158 162 170 182 192 198 248 302 308 320	930955629312