Prime p₀= 2258834038119015587 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: paulteo
db: batch=81, k=10, 2 22 2 16 2

STPT(12)	2258832555104508959	0 2 30 32 42 44 90 92 102 104 132 134	-1483014506628
TPT(14)	2258833149539127197	0 2 24 26 54 56 192 194 210 212 234 236 252 254	-888579888390
STPT(10)	2258833469917847651	0 2 6 8 48 50 90 92 96 98	-568201167936
SPT(16)	2258833506845873497	0 16 46 60 70 96 124 126 154 156 184 210 220 234 264 280	-531273142090
SPT(16)	2258833515614972851	0 66 88 132 156 168 228 232 366 370 430 442 466 510 532 598	-522504042736
SPT(16)	2258833861566286229	0 32 42 114 144 164 180 194 210 224 240 260 290 362 372 404	-176552729358
STPT(10)	2258834404591769309	0 2 48 50 90 92 132 134 180 182	366472753722
STPT(10)	2258834514645892031	0 2 30 32 60 62 90 92 120 122	476526876444
SPT(16)	2258834705095221403	0 90 100 118 126 138 150 156 160 166 178 190 198 216 226 316	666976205816
SPT(16)	2258834886137771213	0 20 68 96 108 140 158 210 254 306 324 356 368 396 444 464	848018755626
STPT(10)	2258835473983535969	0 2 18 20 30 32 42 44 60 62	1435864520382