Prime p₀= 2512832997731186069 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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 40 2 16 2

STPT(12)	2512832694106090997	0 2 42 44 54 56 90 92 102 104 144 146	-303625095072
SPT(16)	2512832703716119033	0 100 126 144 168 184 196 204 280 288 300 316 340 358 384 484	-294015067036
SPT(16)	2512832737423648709	0 20 44 80 180 194 324 348 410 434 564 578 678 714 738 758	-260307537360
STPT(12)	2512832765724822347	0 2 30 32 42 44 162 164 174 176 204 206	-232006363722
SPT(16)	2512832896599960097	0 22 154 190 270 294 304 340 426 462 472 496 576 612 744 766	-101131225972
TPT(14)	2512832896964945831	0 2 6 8 78 80 180 182 246 248 276 278 300 302	-100766240238
STPT(10)	2512833293427256769	0 2 12 14 30 32 48 50 60 62	295696070700
SPT(16)	2512833325825257167	0 12 42 50 54 62 122 152 174 204 264 272 276 284 314 326	328094071098
STPT(10)	2512833647072039651	0 2 6 8 48 50 90 92 96 98	649340853582
STPT(10)	2512833893719643309	0 2 12 14 90 92 168 170 180 182	895988457240
SPT(16)	2512833937860094139	0 12 18 48 62 78 92 102 170 180 194 210 224 254 260 272	940128908070