Prime p₀= 2941461788319724001 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: 278
Found by: ginga
db: batch=82, k=10, 2 64 2 70 2

STPT(10)	2941460552727139319	0 2 30 32 60 62 90 92 120 122	-1235592584682
SPT(16)	2941460704336449613	0 24 48 94 156 160 216 238 366 388 444 448 510 556 580 604	-1083983274388
STPT(10)	2941460951926691111	0 2 30 32 78 80 126 128 156 158	-836393032890
TPT(14)	2941461160365557741	0 2 6 8 90 92 156 158 216 218 228 230 240 242	-627954166260
SPT(16)	2941461546546699053	0 50 108 114 206 248 254 258 296 300 306 348 440 446 504 554	-241773024948
SPT(16)	2941461663693437809	0 12 72 82 88 100 114 124 168 178 192 204 210 220 280 292	-124626286192
SPT(16)	2941462966958581697	0 2 32 42 74 86 104 144 242 282 300 312 344 354 384 386	1178638857696
STPT(10)	2941463570101591487	0 2 30 32 42 44 54 56 84 86	1781781867486
SPT(16)	2941463751902394149	0 8 92 138 162 168 230 270 302 342 404 410 434 480 564 572	1963582670148
STPT(10)	2941464867705761627	0 2 24 26 42 44 60 62 84 86	3079386037626
SPT(16)	2941464896962724023	0 30 34 150 178 216 220 234 310 324 328 366 394 510 514 544	3108643000022