Prime p₀= 2021069427609582401 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: gemini8
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	2021068077553520167	0 6 16 40 42 46 60 96 160 196 210 214 216 240 250 256	-1350056062234
SPT(16)	2021068285723958441	0 12 20 32 42 110 120 132 146 158 168 236 246 258 266 278	-1141885623960
SPT(16)	2021068341387219373	0 6 58 60 96 124 148 204 250 306 330 358 394 396 448 454	-1086222363028
STPT(10)	2021068948505424899	0 2 48 50 90 92 132 134 180 182	-479104157502
SPT(16)	2021069064576962423	0 8 14 48 50 78 86 126 128 168 176 204 206 240 246 254	-363032619978
STPT(10)	2021069117306678609	0 2 18 20 30 32 42 44 60 62	-310302903792
STPT(12)	2021069670083984249	0 2 42 44 72 74 90 92 120 122 162 164	242474401848
STPT(10)	2021069692933361009	0 2 18 20 30 32 42 44 60 62	265323778608
SPT(16)	2021070625580349353	0 48 54 80 104 114 138 170 174 206 230 240 264 290 296 344	1197970766952
SPT(16)	2021070758990024789	0 20 48 102 132 134 168 188 204 224 258 260 290 344 372 392	1331380442388
SPT(16)	2021070802627405939	0 12 42 48 54 72 88 90 112 114 130 148 154 160 190 202	1375017823538