Prime p₀= 1263595609840513931 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 58 2 40 2 94 2 112 2 46 2 (?)
a_n: 0 2 18 20 78 80 120 122 216 218 330 332 378 380
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: 380
Found by: rlacr
db: batch=77, k=14, 16 58 40 94 112 46

SPT(16)	1263594399714334529	0 32 44 90 92 102 114 150 182 218 230 240 242 288 300 332	-1210126179402
SPT(16)	1263594755809738103	0 44 50 66 98 114 198 258 296 356 440 456 488 504 510 554	-854030775828
SPT(16)	1263594780242539343	0 18 68 74 96 98 104 110 174 180 186 188 210 216 266 284	-829597974588
SPT(16)	1263594829422781907	0 2 24 30 42 72 90 102 104 116 134 164 176 182 204 206	-780417732024
STPT(12)	1263594938628720359	0 2 30 32 60 62 72 74 102 104 132 134	-671211793572
SPT(16)	1263595317968285903	0 56 66 74 108 248 254 320 324 390 396 536 570 578 588 644	-291872228028
SPT(16)	1263596208021841231	0 16 48 66 136 156 168 180 196 208 220 240 310 328 360 376	598181327300
STPT(10)	1263596426090849309	0 2 18 20 30 32 42 44 60 62	816250335378
STPT(10)	1263596902139024819	0 2 42 44 60 62 78 80 120 122	1292298510888
SPT(16)	1263597216479691007	0 4 12 24 52 82 90 132 172 214 222 252 280 292 300 304	1606639177076
STPT(10)	1263597277298692199	0 2 42 44 90 92 138 140 180 182	1667458178268