Prime p₀= 2506408993053135251 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 106 2 10 2 16 2 70 2 (?)
a_n: 0 2 30 32 90 92 198 200 210 212 228 230 300 302
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: 302
Found by: [SG-FC] hl
db: batch=82, k=14, 28 58 106 10 16 70

STPT(10)	2506407416416497617	0 2 72 74 102 104 132 134 204 206	-1576636637634
SPT(16)	2506407839698554823	0 28 94 114 148 150 168 208 276 316 334 336 370 390 456 484	-1153354580428
STPT(10)	2506407878021243627	0 2 30 32 72 74 114 116 144 146	-1115031891624
SPT(16)	2506408427951321563	0 66 70 76 88 106 118 126 130 138 150 168 180 186 190 256	-565101813688
TPT(14)	2506408540727363009	0 2 132 134 138 140 180 182 258 260 372 374 402 404	-452325772242
SPT(16)	2506408858278644899	0 4 10 24 42 84 154 160 192 198 268 310 328 342 348 352	-134774490352
SPT(20)	2506409161716176557	0 16 36 42 64 70 102 120 130 142 234 246 256 274 306 312 334 340 360 376	168663041306
TPT(14)	2506409317868378891	0 2 48 50 78 80 90 92 138 140 150 152 288 290	324815243640
STPT(10)	2506409410572003449	0 2 42 44 60 62 78 80 120 122	417518868198
SPT(16)	2506409918451560939	0 32 38 54 180 192 198 210 212 224 230 242 368 384 390 422	925398425688
SPT(16)	2506410199498930909	0 64 72 94 148 174 184 210 262 288 298 324 378 400 408 472	1206445795658