Prime p₀= 2404364268014339159 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 10 2 94 2 88 2 22 2 (?)
a_n: 0 2 48 50 60 62 72 74 168 170 258 260 282 284
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: 284
Found by: [SG-FC] hl
db: batch=82, k=14, 46 10 10 94 88 22

SPT(16)	2404363373464368803	0 6 56 68 78 114 116 126 188 198 200 236 246 258 308 314	-894549970356
SPT(16)	2404363410818550277	0 22 24 46 64 66 70 90 106 126 130 132 150 172 174 196	-857195788882
SPT(16)	2404363673513226319	0 42 58 70 72 112 220 222 298 300 408 448 450 462 478 520	-594501112840
SPT(16)	2404363713059749867	0 4 10 34 46 70 84 96 130 142 156 180 192 216 222 226	-554954589292
SPT(16)	2404363729061570411	0 6 18 38 62 78 98 122 186 210 230 246 270 290 302 308	-538952768748
SPT(16)	2404363880728290821	0 6 18 42 92 96 120 126 152 158 182 186 236 260 272 278	-387286048338
SPT(16)	2404364477484933961	0 28 48 118 132 142 162 180 268 286 306 316 330 400 420 448	209470594802
STPT(10)	2404364577417500387	0 2 30 32 42 44 54 56 84 86	309403161228
TPT(14)	2404364733021411437	0 2 12 14 54 56 60 62 114 116 300 302 492 494	465007072278
TPT(14)	2404365302168810171	0 2 36 38 78 80 336 338 378 380 426 428 438 440	1034154471012
SPT(13)	2404365390814500461	0 18 36 66 108 150 168 186 228 270 300 318 336	1122800161302