Prime p₀= 2290515006373225529 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: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2290513956070580717	0 42 60 66 110 120 126 156 206 236 242 252 296 302 320 362	-1050302644812
STPT(10)	2290514048888402429	0 2 78 80 120 122 162 164 240 242	-957484823100
SPT(16)	2290514069415367573	0 10 18 30 60 66 70 136 198 264 268 274 304 316 324 334	-936957857956
SPT(16)	2290514285013846097	0 10 34 52 90 96 100 156 160 216 220 226 264 282 306 316	-721359379432
SPT(16)	2290514432592420779	0 12 78 84 92 108 132 138 164 170 194 210 218 224 290 302	-573780804750
STPT(10)	2290514523615510131	0 2 30 32 60 62 90 92 120 122	-482757715398
SPT(16)	2290515411090668843	0 26 56 60 86 90 110 126 188 204 224 228 254 258 288 314	404717443314
SPT(16)	2290515885179624857	0 42 66 76 102 124 150 154 192 196 222 244 270 280 304 346	878806399328
SPT(16)	2290515959913642607	0 4 46 54 60 84 94 160 186 252 262 286 292 300 342 346	953540417078
SPT(16)	2290516119067005433	0 6 28 70 106 136 154 190 204 240 258 288 324 366 388 394	1112693779904
TPT(14)	2290516261068475247	0 2 12 14 54 56 120 122 162 164 192 194 222 224	1254695249718