Prime p₀= 1246941816655202579 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: emoga
db: batch=77, k=10, 2 16 2 10 2

TPT(14)	1246940672780234099	0 2 120 122 222 224 252 254 258 260 462 464 468 470	-1143874968480
STPT(10)	1246940756623192229	0 2 18 20 30 32 42 44 60 62	-1060032010350
SPT(16)	1246940997768970099	0 22 124 142 148 192 228 250 252 274 310 354 360 378 480 502	-818886232480
STPT(10)	1246941055810924391	0 2 30 32 78 80 126 128 156 158	-760844278188
SPT(20)	1246941714415925159	0 38 60 90 98 140 158 218 224 234 284 294 300 360 378 420 428 458 480 518	-102239277420
STPT(10)	1246941816597586799	0 2 18 20 30 32 42 44 60 62	-57615780
TPT(14)	1246941861933279821	0 2 78 80 138 140 156 158 168 170 180 182 240 242	45278077242
SPT(16)	1246942558614265589	0 30 32 42 48 72 74 102 110 138 140 164 170 180 182 212	741959063010
STPT(10)	1246942640521997561	0 2 6 8 18 20 30 32 36 38	823866794982
STPT(10)	1246942681803488321	0 2 36 38 78 80 120 122 156 158	865148285742
STPT(10)	1246942899484806059	0 2 48 50 90 92 132 134 180 182	1082829603480