Prime p₀= 2816888993826533411 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 22 2 16 2 40 2 136 2 28 2 (?)
a_n: 0 2 36 38 60 62 78 80 120 122 258 260 288 290
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: 290
Found by: [SG-FC] hl
db: batch=82, k=14, 34 22 16 40 136 28

SPT(16)	2816886938982270487	0 16 36 42 46 60 82 100 102 120 142 156 160 166 186 202	-2054844262924
TPT(14)	2816888088011178941	0 2 48 50 90 92 168 170 300 302 348 350 366 368	-905815354470
TPT(14)	2816888205917320277	0 2 30 32 114 116 120 122 150 152 222 224 240 242	-787909213134
SPT(16)	2816888412648464779	0 10 28 34 78 84 108 118 120 130 154 160 204 210 228 238	-581178068632
SPT(16)	2816888796029386889	0 2 62 72 128 180 240 258 314 332 392 444 500 510 570 572	-197797146522
STPT(10)	2816888990252938127	0 2 90 92 102 104 114 116 204 206	-3573595284
STPT(10)	2816889145823775677	0 2 12 14 72 74 132 134 144 146	151997242266
SPT(16)	2816889278729676721	0 42 60 82 88 90 102 190 228 316 328 330 336 358 376 418	284903143310
SPT(16)	2816889541574500541	0 2 8 62 66 86 90 116 132 158 162 182 186 240 246 248	547747967130
STPT(10)	2816889759377964239	0 2 12 14 30 32 48 50 60 62	765551430828
SPT(16)	2816889933131704627	0 16 40 66 94 114 124 150 490 516 526 546 574 600 624 640	939305171216