Prime p₀= 2623717062393236609 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=10, 2 46 2 10 2

SPT(16)	2623716351713511163	0 28 36 46 70 90 130 148 228 246 286 306 330 340 348 376	-710679725446
TPT(14)	2623716426615501647	0 2 24 26 42 44 180 182 234 236 300 302 414 416	-635777734962
TPT(16)	2623716544149559889	0 2 18 20 30 32 60 62 252 254 312 314 378 380 492 494	-518243676720
SPT(16)	2623716569208176891	0 18 36 60 80 86 92 98 180 186 192 198 218 242 260 278	-493185059718
SPT(16)	2623717004909508553	0 16 48 66 96 106 166 180 346 360 420 430 460 478 510 526	-57483728056
SPT(16)	2623717032292228531	0 10 18 60 66 70 72 88 120 136 138 142 148 190 198 208	-30101008078
SPT(16)	2623717149804240169	0 28 42 60 88 148 162 172 228 238 252 312 340 358 372 400	87411003560
STPT(10)	2623717301477549489	0 2 42 44 60 62 78 80 120 122	239084312880
SPT(16)	2623717460865711733	0 6 24 28 34 48 136 154 210 228 316 330 336 340 358 364	398472475124
SPT(16)	2623717508417953331	0 30 60 96 102 108 126 140 168 182 200 206 212 248 278 308	446024716722
SPT(16)	2623717747378525001	0 72 92 98 128 162 182 200 210 228 248 282 312 318 338 410	684985288392