Prime p₀= 2038905093213634727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 10 2 58 2

STPT(10)	2038903663190182931	0 2 6 8 18 20 30 32 36 38	-1430023451796
SPT(16)	2038903942469805277	0 54 72 124 136 150 166 172 234 240 256 270 282 334 352 406	-1150743829450
STPT(10)	2038903946434216619	0 2 18 20 30 32 42 44 60 62	-1146779418108
SPT(16)	2038904811505388293	0 54 96 148 190 220 234 280 354 400 414 444 486 538 580 634	-281708246434
SPT(16)	2038905064927224517	0 60 72 102 112 196 270 300 382 412 486 570 580 610 622 682	-28286410210
SPT(16)	2038905080064087383	0 30 56 114 134 186 240 264 266 290 344 396 416 474 500 530	-13149547344
SPT(16)	2038905279487090117	0 10 12 22 36 54 90 120 136 166 202 220 234 244 246 256	186273455390
STPT(10)	2038905395232121457	0 2 30 32 42 44 54 56 84 86	302018486730
SPT(16)	2038905415198106467	0 24 36 102 106 112 124 154 162 192 204 210 214 280 292 316	321984471740
SPT(16)	2038905494123940973	0 34 46 48 70 84 108 150 154 196 220 234 256 258 270 304	400910306246
STPT(10)	2038905533945827901	0 2 6 8 48 50 90 92 96 98	440732193174