Prime p₀= 2589764655151016027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: fzs600
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2589762022565762897	0 2 30 32 72 74 114 116 144 146	-2632585253130
SPT(16)	2589762649103010817	0 16 30 36 72 120 126 132 184 190 196 244 280 286 300 316	-2006048005210
SPT(16)	2589763143386019917	0 24 66 84 96 140 162 170 276 284 306 350 362 380 422 446	-1511764996110
STPT(10)	2589763620873607439	0 2 18 20 30 32 42 44 60 62	-1034277408588
SPT(16)	2589763874077230217	0 30 42 52 66 76 82 94 222 234 240 250 264 274 286 316	-781073785810
STPT(12)	2589763947409411139	0 2 12 14 42 44 48 50 78 80 90 92	-707741604888
TPT(14)	2589765210698799041	0 2 30 32 60 62 108 110 126 128 198 200 240 242	555547783014
TPT(14)	2589765522579896081	0 2 66 68 78 80 120 122 306 308 330 332 366 368	867428880054
SPT(16)	2589765759848078041	0 70 102 130 156 168 180 216 292 328 340 352 378 406 438 508	1104697062014
SPT(16)	2589766073530598857	0 10 12 24 30 52 60 72 82 94 102 124 130 142 144 154	1418379582830
SPT(16)	2589766720504474333	0 4 28 40 58 70 88 118 180 210 228 240 258 270 294 298	2065353458306