Prime p₀= 1957027223605739039 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: gemini8
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	1957026018362052973	0 58 66 108 136 144 154 178 186 210 220 228 256 298 306 364	-1205243686066
STPT(10)	1957026160941447719	0 2 48 50 90 92 132 134 180 182	-1062664291320
SPT(16)	1957026207571403149	0 12 42 52 70 82 90 112 150 172 180 192 210 220 250 262	-1016034335890
STPT(10)	1957026259773009749	0 2 18 20 30 32 42 44 60 62	-963832729290
SPT(16)	1957026581601986563	0 16 30 118 154 160 210 216 268 274 324 330 366 454 468 484	-642003752476
SPT(16)	1957027013242585567	0 24 70 96 114 150 154 184 192 222 226 262 280 306 352 376	-210363153472
TPT(14)	1957027370786148509	0 2 90 92 132 134 168 170 210 212 330 332 510 512	147180409470
SPT(16)	1957027451623877167	0 10 16 94 96 100 112 124 192 204 216 220 222 300 306 316	228018138128
STPT(10)	1957027466214535061	0 2 6 8 48 50 90 92 96 98	242608796022
SPT(16)	1957028040452991367	0 52 64 66 96 130 156 180 196 220 246 280 310 312 324 376	816847252328
SPT(16)	1957028087719167563	0 14 38 48 66 140 144 156 158 170 174 248 266 276 300 314	864113428524