Prime p₀= 2686653156360643439 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 16 2

SPT(16)	2686651332697330693	0 4 28 48 58 70 88 136 168 216 234 246 256 276 300 304	-1823663312746
STPT(12)	2686651360421184881	0 2 18 20 30 32 126 128 138 140 156 158	-1795939458558
SPT(16)	2686652253800822393	0 48 74 78 80 104 120 140 168 188 204 228 230 234 260 308	-902559821046
SPT(16)	2686652508949354453	0 48 70 76 100 126 148 154 210 216 238 264 288 294 316 364	-647411288986
SPT(16)	2686652667046699853	0 54 68 84 108 176 194 236 258 300 318 386 410 426 440 494	-489313943586
SPT(16)	2686652820405653947	0 12 82 130 144 150 154 172 204 222 226 232 246 294 364 376	-335954989492
STPT(10)	2686653588576795749	0 2 18 20 30 32 42 44 60 62	432216152310
STPT(10)	2686654265019055871	0 2 126 128 138 140 150 152 276 278	1108658412432
SPT(16)	2686654294054442267	0 14 72 90 96 132 152 182 204 234 254 290 296 314 372 386	1137693798828
SPT(16)	2686654659827905579	0 22 82 124 148 154 238 250 252 264 348 354 378 420 480 502	1503467262140
STPT(10)	2686655210429443619	0 2 42 44 60 62 78 80 120 122	2054068800180