Prime p₀= 2037103886459649167 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 28 2 28 2 136 2 16 2 (?)
a_n: 0 2 42 44 54 56 84 86 114 116 252 254 270 272
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: 272
Found by: Landjunge
db: batch=80, k=14, 40 10 28 28 136 16

SPT(16)	2037102620100981533	0 20 80 86 146 150 158 174 200 216 224 228 288 294 354 374	-1266358667634
TPT(14)	2037102970231726277	0 2 84 86 180 182 192 194 210 212 312 314 420 422	-916227922890
STPT(10)	2037103195524807869	0 2 18 20 30 32 42 44 60 62	-690934841298
SPT(16)	2037103387977232907	0 72 80 146 150 156 170 182 264 276 290 296 300 366 374 446	-498482416260
TPT(14)	2037103487815054199	0 2 48 50 60 62 72 74 132 134 288 290 342 344	-398644594968
SPT(16)	2037103616743898933	0 38 48 66 68 90 126 128 168 170 206 228 230 248 258 296	-269715750234
STPT(10)	2037103923084445067	0 2 30 32 72 74 114 116 144 146	36624795900
TPT(14)	2037103940946154007	0 2 30 32 90 92 102 104 114 116 222 224 264 266	54486504840
SPT(16)	2037104310939888397	0 4 22 60 70 84 120 124 162 166 202 216 226 264 282 286	424480239230
TPT(14)	2037104695033275557	0 2 30 32 42 44 72 74 132 134 174 176 222 224	808573626390
TPT(14)	2037105119326350077	0 2 12 14 30 32 54 56 102 104 114 116 270 272	1232866700910