Prime p₀= 2233749138506230349 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 88 2 4 2 82 2 16 2 (?)
a_n: 0 2 12 14 42 44 132 134 138 140 222 224 240 242
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: Penguin
db: batch=81, k=14, 10 28 88 4 82 16

STPT(10)	2233747303761593441	0 2 6 8 48 50 90 92 96 98	-1834744636908
SPT(16)	2233747357881425201	0 8 12 26 78 92 96 128 180 212 216 230 282 296 300 308	-1780624805148
TPT(14)	2233747926031248239	0 2 18 20 30 32 132 134 138 140 222 224 240 242	-1212474982110
SPT(16)	2233748621975673167	0 36 44 60 72 126 140 162 164 186 200 254 266 282 290 326	-516530557182
SPT(16)	2233748950360767157	0 16 24 54 66 82 112 132 184 204 234 250 262 292 300 316	-188145463192
SPT(16)	2233749045315760703	0 14 26 44 48 68 78 90 134 146 156 176 180 198 210 224	-93190469646
SPT(16)	2233749366770293997	0 32 36 42 56 66 74 102 104 132 140 150 164 170 174 206	228264063648
STPT(10)	2233750609862189237	0 2 30 32 42 44 54 56 84 86	1471355958888
SPT(16)	2233751056535250601	0 40 60 66 70 96 112 126 142 156 172 198 202 208 228 268	1918029020252
SPT(16)	2233751239926998257	0 6 42 124 160 174 196 202 264 270 292 306 342 424 460 466	2101420767908
SPT(16)	2233751293687870717	0 34 82 124 172 190 192 216 250 274 276 294 342 384 432 466	2155181640368