Prime p₀= 2569280008251098111 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 28 2 28 2 34 2 10 2 (?)
a_n: 0 2 6 8 30 32 60 62 90 92 126 128 138 140
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: 140
Found by: RFGuy_KCCO
db: batch=82, k=14, 4 22 28 28 34 10

SPT(16)	2569278412998216061	0 10 18 52 58 70 72 76 102 106 108 120 126 160 168 178	-1595252882050
SPT(16)	2569278613466115539	0 24 80 98 104 134 150 158 174 182 198 228 234 252 308 332	-1394784982572
SPT(16)	2569278831820209749	0 14 48 50 84 92 122 158 234 270 300 308 342 344 378 392	-1176430888362
STPT(10)	2569278850341136247	0 2 30 32 72 74 114 116 144 146	-1157909961864
STPT(10)	2569279467741083099	0 2 30 32 60 62 90 92 120 122	-540510015012
SPT(16)	2569279843706435753	0 18 20 24 78 104 108 158 210 260 264 290 344 348 350 368	-164544662358
SPT(16)	2569280099107998973	0 30 58 60 88 120 138 184 210 256 274 306 334 336 364 394	90856900862
STPT(10)	2569280110573119701	0 2 6 8 18 20 30 32 36 38	102322021590
SPT(16)	2569280252999294123	0 44 60 84 90 104 134 146 198 210 240 254 260 284 300 344	244748196012
TPT(14)	2569280418762884639	0 2 138 140 150 152 168 170 180 182 198 200 222 224	410511786528
SPT(16)	2569280858686266553	0 34 70 78 148 166 174 180 274 280 288 306 376 384 420 454	850435168442