Prime p₀= 1957680473770645331 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 76 2 10 2 28 2 46 2 28 2 (?)
a_n: 0 2 78 80 156 158 168 170 198 200 246 248 276 278
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: 278
Found by: Donn Pike (USAF Ret)
db: batch=80, k=14, 76 76 10 28 46 28

STPT(10)	1957678579347592217	0 2 54 56 132 134 210 212 264 266	-1894423053114
SPT(16)	1957679315131989259	0 12 30 42 48 54 72 84 208 220 238 244 250 262 280 292	-1158638656072
STPT(10)	1957679371587693107	0 2 54 56 72 74 90 92 144 146	-1102182952224
STPT(10)	1957679818062307907	0 2 12 14 42 44 72 74 84 86	-655708337424
SPT(16)	1957680042069592331	0 2 60 80 108 128 138 150 170 182 192 212 240 260 318 320	-431701053000
SPT(16)	1957680323246634593	0 26 54 60 80 104 116 126 248 258 270 294 314 320 348 374	-150524010738
SPT(16)	1957680747627204979	0 12 40 108 112 148 150 210 262 322 324 360 364 432 460 472	273856559648
SPT(16)	1957680943534219801	0 6 22 30 88 106 160 178 210 228 282 300 358 366 382 388	469763574470
SPT(16)	1957680984833131529	0 2 90 248 254 258 264 272 300 308 314 318 324 482 570 572	511062486198
TPT(14)	1957681160025993431	0 2 126 128 150 152 198 200 210 212 240 242 366 368	686255348100
SPT(16)	1957681247255426131	0 46 52 60 160 190 192 196 252 256 258 288 388 396 402 448	773484780800