Prime p₀= 1257928802658252971 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 158
Found by: xii5ku
db: batch=77, k=10, 2 34 2 40 2

TPT(14)	1257927684800414477	0 2 12 14 24 26 54 56 150 152 234 236 252 254	-1117857838494
TPT(14)	1257927716712162341	0 2 60 62 96 98 150 152 156 158 378 380 390 392	-1085946090630
SPT(16)	1257928528834680113	0 6 36 74 90 104 180 204 206 230 306 320 336 374 404 410	-273823572858
STPT(10)	1257928594026522287	0 2 72 74 102 104 132 134 204 206	-208631730684
STPT(10)	1257928647314522537	0 2 54 56 72 74 90 92 144 146	-155343730434
SPT(16)	1257928781587247087	0 36 50 96 126 134 140 174 296 330 336 344 374 420 434 470	-21071005884
STPT(10)	1257928833559724531	0 2 6 8 18 20 30 32 36 38	30901471560
SPT(16)	1257929003079534287	0 12 24 32 54 60 74 80 84 90 104 110 132 140 152 164	200421281316
SPT(16)	1257929028246187433	0 6 14 26 56 80 90 134 180 224 234 258 288 300 308 314	225587934462
TPT(14)	1257929136349569527	0 2 54 56 60 62 114 116 240 242 270 272 312 314	333691316556
TPT(14)	1257929289061261079	0 2 72 74 168 170 240 242 258 260 282 284 300 302	486403008108