Prime p₀= 2796388526790264779 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 40 2 70 2 4 2 88 2 10 2 (?)
a_n: 0 2 48 50 90 92 162 164 168 170 258 260 270 272
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: 272
Found by: JayPi
db: batch=82, k=14, 46 40 70 4 88 10

SPT(16)	2796386642896493131	0 36 52 70 72 90 102 106 156 160 172 190 192 210 226 262	-1883893771648
SPT(16)	2796386765048663827	0 46 54 96 106 124 130 150 190 210 216 234 244 286 294 340	-1761741600952
SPT(16)	2796387314270059723	0 6 16 28 36 94 174 240 244 310 390 448 456 468 478 484	-1212520205056
SPT(16)	2796387395334360181	0 6 40 58 76 90 100 118 120 138 148 162 180 198 232 238	-1131455904598
SPT(16)	2796387486735591373	0 10 70 114 148 190 228 240 358 370 408 450 484 528 588 598	-1040054673406
SPT(16)	2796387607235102249	0 42 54 68 80 122 150 152 180 182 210 252 264 278 290 332	-919555162530
SPT(16)	2796388855325519819	0 30 98 120 164 212 224 260 312 348 360 408 452 474 542 572	328535255040
STPT(10)	2796388855655603471	0 2 6 8 48 50 90 92 96 98	328865338692
STPT(10)	2796389090834243657	0 2 30 32 42 44 54 56 84 86	564043978878
SPT(16)	2796389204572112561	0 62 68 98 152 158 180 222 236 278 300 306 360 390 396 458	677781847782
SPT(20)	2796389610654036857	0 6 32 66 80 102 180 182 186 192 224 230 234 236 314 336 350 384 410 416	1083863772078