Prime p₀= 2658278557523187629 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2658276623215036631	0 2 90 92 150 152 210 212 300 302	-1934308150998
STPT(10)	2658276692094475547	0 2 30 32 42 44 54 56 84 86	-1865428712082
SPT(16)	2658277110614816989	0 18 72 78 114 138 190 250 312 372 424 448 484 490 544 562	-1446908370640
SPT(16)	2658277360311324527	0 26 42 66 86 102 114 144 152 182 194 210 230 254 270 296	-1197211863102
SPT(16)	2658277630085259989	0 20 42 72 92 122 162 182 198 218 258 288 308 338 360 380	-927437927640
STPT(10)	2658278389542858911	0 2 6 8 48 50 90 92 96 98	-167980328718
SPT(16)	2658278993272165853	0 50 56 90 134 156 168 186 188 206 218 240 284 318 324 374	435748978224
STPT(10)	2658279161595121121	0 2 30 32 78 80 126 128 156 158	604071933492
TPT(14)	2658279339689293277	0 2 72 74 84 86 150 152 180 182 192 194 282 284	782166105648
TPT(16)	2658279407112192467	0 2 30 32 132 134 204 206 282 284 324 326 420 422 504 506	849589004838
TPT(14)	2658279845825834309	0 2 60 62 120 122 162 164 228 230 252 254 288 290	1288302646680