Prime p₀= 2582399728771935299 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 106 2 16 2 118 2 88 2 10 2 (?)
a_n: 0 2 12 14 120 122 138 140 258 260 348 350 360 362
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: 362
Found by: Groo
db: batch=82, k=14, 10 106 16 118 88 10

SPT(16)	2582398704932469919	0 30 52 60 82 88 114 124 228 238 264 270 292 300 322 352	-1023839465380
SPT(16)	2582398905623640461	0 8 30 66 80 96 120 128 150 158 182 198 212 248 270 278	-823148294838
SPT(16)	2582399344691497291	0 48 60 90 112 258 268 270 310 312 322 468 490 520 532 580	-384080438008
SPT(16)	2582399407906132651	0 46 48 88 96 102 132 162 166 196 226 232 240 280 282 328	-320865802648
SPT(16)	2582399413439169167	0 32 60 90 96 110 152 156 200 204 246 260 266 296 324 356	-315332766132
STPT(10)	2582399499299220437	0 2 42 44 72 74 102 104 144 146	-229472714862
SPT(16)	2582400109788014161	0 22 72 100 148 198 232 240 268 276 310 360 408 436 486 508	381016078862
SPT(16)	2582400172177953409	0 22 60 94 100 120 162 184 198 220 262 282 288 322 360 382	443406018110
STPT(10)	2582400482934046589	0 2 42 44 90 92 138 140 180 182	754162111290
STPT(10)	2582400552284199341	0 2 30 32 60 62 90 92 120 122	823512264042
TPT(14)	2582400713901866189	0 2 78 80 132 134 168 170 192 194 222 224 252 254	985129930890