Prime p₀= 1257937415222616377 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: xii5ku
db: batch=77, k=10, 2 10 2 28 2

TPT(14)	1257935836079363849	0 2 18 20 102 104 168 170 210 212 270 272 312 314	-1579143252528
STPT(10)	1257936007770629399	0 2 18 20 60 62 102 104 120 122	-1407451986978
SPT(16)	1257936435258433753	0 16 70 78 84 190 298 316 378 396 504 610 616 624 678 694	-979964182624
STPT(10)	1257936435361967321	0 2 36 38 78 80 120 122 156 158	-979860649056
SPT(16)	1257936824544038239	0 12 42 54 94 100 102 112 240 250 252 258 298 310 340 352	-590678578138
STPT(10)	1257937202527198547	0 2 54 56 72 74 90 92 144 146	-212695417830
TPT(14)	1257937424870256857	0 2 42 44 72 74 84 86 150 152 282 284 312 314	9647640480
SPT(16)	1257937591155532447	0 4 30 52 66 70 72 94 132 154 156 160 174 196 222 226	175932916070
STPT(10)	1257937765104565187	0 2 24 26 42 44 60 62 84 86	349881948810
STPT(10)	1257937800347132087	0 2 30 32 42 44 54 56 84 86	385124515710
SPT(16)	1257937862199718151	0 8 30 36 56 78 86 92 96 102 110 132 152 158 180 188	446977101774