Prime p₀= 1585236061433078627 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: crashtech
db: batch=78, k=10, 2 22 2 16 2

SPT(16)	1585235251273757107	0 16 70 82 94 96 124 154 162 192 220 222 234 246 300 316	-810159321520
SPT(16)	1585235258906133529	0 18 28 52 70 144 178 190 192 204 238 312 330 354 364 382	-802526945098
TPT(14)	1585235419264478321	0 2 18 20 90 92 138 140 156 158 240 242 348 350	-642168600306
SPT(16)	1585235720136860903	0 26 56 60 68 74 114 116 168 170 210 216 224 228 258 284	-341296217724
TPT(14)	1585235787504297821	0 2 48 50 60 62 90 92 126 128 156 158 228 230	-273928780806
SPT(16)	1585236056599103003	0 56 78 90 98 144 146 194 210 258 260 306 314 326 348 404	-4833975624
STPT(10)	1585236114172860041	0 2 6 8 48 50 90 92 96 98	52739781414
SPT(16)	1585236123646939193	0 6 30 50 86 96 108 156 188 236 248 258 294 314 338 344	62213860566
SPT(16)	1585236338645640001	0 10 52 60 76 100 102 126 142 166 168 192 208 216 258 268	277212561374
STPT(10)	1585236712663813379	0 2 18 20 30 32 42 44 60 62	651230734752
STPT(10)	1585237011154712087	0 2 12 14 42 44 72 74 84 86	949721633460