Prime p₀= 1123425431643554729 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: stoneageman
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1123423672829854211	0 2 6 8 48 50 90 92 96 98	-1758813700518
SPT(18)	1123423871857992589	0 22 40 54 58 82 84 114 124 198 208 238 240 264 268 282 300 322	-1559785562140
SPT(16)	1123424065777724719	0 4 12 22 88 100 114 142 150 178 192 204 270 280 288 292	-1365865830010
SPT(16)	1123424268957606653	0 8 14 24 38 90 104 134 174 204 218 270 284 294 300 308	-1162685948076
STPT(10)	1123425185093540759	0 2 78 80 150 152 222 224 300 302	-246550013970
STPT(10)	1123425239782787477	0 2 30 32 42 44 54 56 84 86	-191860767252
STPT(10)	1123425442497601091	0 2 36 38 78 80 120 122 156 158	10854046362
STPT(10)	1123425618194394269	0 2 18 20 30 32 42 44 60 62	186550839540
SPT(16)	1123425785312500589	0 14 38 62 78 80 108 134 138 164 192 194 210 234 258 272	353668945860
TPT(14)	1123425849816086189	0 2 18 20 72 74 102 104 168 170 228 230 270 272	418172531460
SPT(16)	1123426106928831833	0 18 56 86 98 108 110 194 210 294 296 306 318 348 386 404	675285277104