Prime p₀= 2915097273422192147 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 4 2 82 2 64 2 58 2 28 2 (?)
a_n: 0 2 84 86 90 92 174 176 240 242 300 302 330 332
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: 332
Found by: [SG-FC] hl
db: batch=82, k=14, 82 4 82 64 58 28

SPT(16)	2915095666202697473	0 18 38 68 74 90 140 144 194 198 248 264 270 300 320 338	-1607219494674
SPT(16)	2915095724057469679	0 12 52 102 108 234 258 280 282 304 328 454 460 510 550 562	-1549364722468
SPT(16)	2915095760501587151	0 30 56 62 80 110 192 206 216 230 312 342 360 366 392 422	-1512920604996
SPT(16)	2915096333190499043	0 60 104 108 146 150 174 224 270 320 344 348 386 390 434 494	-940231693104
SPT(13)	2915096389639575473	0 24 30 66 96 126 180 234 264 294 330 336 360	-883782616674
SPT(16)	2915096723910874271	0 26 38 86 90 126 140 152 186 198 212 248 252 300 312 338	-549511317876
SPT(16)	2915097729005868223	0 4 76 94 186 234 250 256 258 264 280 328 420 438 510 514	455583676076
STPT(10)	2915097764037112469	0 2 48 50 90 92 132 134 180 182	490614920322
TPT(14)	2915097868541894807	0 2 120 122 204 206 270 272 342 344 354 356 522 524	595119702660
SPT(16)	2915098167620655827	0 24 32 56 110 114 116 140 156 180 182 186 240 264 272 296	894198463680
SPT(16)	2915098390831940567	0 2 36 56 116 170 204 206 210 212 246 300 360 380 414 416	1117409748420