Prime p₀= 2816888205917320277 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 82 2 4 2 28 2 70 2 16 2 (?)
a_n: 0 2 30 32 114 116 120 122 150 152 222 224 240 242
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: 242
Found by: [SG-FC] hl
db: batch=82, k=14, 28 82 4 28 70 16

SPT(16)	2816885885982933433	0 16 18 58 70 84 126 130 144 148 190 204 216 256 258 274	-2319934386844
STPT(10)	2816885937347794967	0 2 30 32 72 74 114 116 144 146	-2268569525310
TPT(14)	2816886107371605161	0 2 168 170 180 182 258 260 336 338 408 410 426 428	-2098545715116
TPT(14)	2816886279455333819	0 2 30 32 138 140 198 200 270 272 282 284 378 380	-1926461986458
SPT(16)	2816886938982270487	0 16 36 42 46 60 82 100 102 120 142 156 160 166 186 202	-1266935049790
TPT(14)	2816888088011178941	0 2 48 50 90 92 168 170 300 302 348 350 366 368	-117906141336
SPT(16)	2816888412648464779	0 10 28 34 78 84 108 118 120 130 154 160 204 210 228 238	206731144502
SPT(16)	2816888796029386889	0 2 62 72 128 180 240 258 314 332 392 444 500 510 570 572	590112066612
STPT(10)	2816888990252938127	0 2 90 92 102 104 114 116 204 206	784335617850
TPT(14)	2816888993826533411	0 2 36 38 60 62 78 80 120 122 258 260 288 290	787909213134
STPT(10)	2816889145823775677	0 2 12 14 72 74 132 134 144 146	939906455400