Prime p₀= 865945863968415281 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: scrap
db: batch=73, k=10, 2 4 2 10 2

SPT(16)	865944590626079023	0 16 54 76 78 100 114 120 154 160 174 196 198 220 258 274	-1273342336258
STPT(10)	865944616632820511	0 2 96 98 138 140 180 182 276 278	-1247335594770
TPT(14)	865944734459532899	0 2 12 14 120 122 138 140 150 152 162 164 222 224	-1129508882382
STPT(10)	865945302585024377	0 2 42 44 72 74 102 104 144 146	-561383390904
TPT(14)	865945732950267659	0 2 18 20 42 44 48 50 138 140 180 182 240 242	-131018147622
SPT(16)	865945743154972747	0 42 46 72 126 142 186 220 246 280 324 340 394 420 424 466	-120813442534
TPT(14)	865946136069906557	0 2 24 26 30 32 84 86 150 152 210 212 222 224	272101491276
STPT(10)	865946192194594331	0 2 6 8 18 20 30 32 36 38	328226179050
SPT(16)	865946555899493347	0 10 90 154 156 196 234 250 336 352 390 430 432 496 576 586	691931078066
STPT(10)	865947168028107041	0 2 30 32 60 62 90 92 120 122	1304059691760
STPT(10)	865947173583048911	0 2 6 8 48 50 90 92 96 98	1309614633630