Prime p₀= 2388586436334591509 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 58 2 70 2 64 2 28 2 (?)
a_n: 0 2 18 20 30 32 90 92 162 164 228 230 258 260
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: 260
Found by: kashi
db: batch=81, k=14, 16 10 58 70 64 28

SPT(16)	2388585167600948977	0 12 22 36 84 94 114 154 162 202 222 232 280 294 304 316	-1268733642532
STPT(10)	2388585334192143599	0 2 42 44 60 62 78 80 120 122	-1102142447910
SPT(16)	2388585835497055937	0 36 42 66 120 152 162 182 234 254 264 296 350 374 380 416	-600837535572
STPT(10)	2388586217634245267	0 2 60 62 72 74 84 86 144 146	-218700346242
TPT(14)	2388586240449266951	0 2 30 32 168 170 186 188 228 230 240 242 396 398	-195885324558
SPT(16)	2388586360252928383	0 4 18 60 64 70 88 108 190 210 228 234 238 280 294 298	-76081663126
STPT(10)	2388587002712096189	0 2 48 50 150 152 252 254 300 302	566377504680
SPT(16)	2388587785580294153	0 8 14 30 38 50 56 126 128 198 204 216 224 240 246 254	1349245702644
SPT(16)	2388587926021105423	0 60 70 76 84 96 108 118 186 196 208 220 228 234 244 304	1489686513914
SPT(16)	2388588096616803643	0 30 48 70 90 168 198 204 280 286 316 394 414 436 454 484	1660282212134
SPT(16)	2388588124790781317	0 26 60 66 92 96 126 140 162 176 206 210 236 242 276 302	1688456189808