Prime p₀= 2712754376007427637 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Dirk Broer
db: batch=82, k=10, 2 10 2 28 2

STPT(12)	2712753149274109259	0 2 42 44 48 50 132 134 138 140 180 182	-1226733318378
STPT(10)	2712753159974703407	0 2 42 44 72 74 102 104 144 146	-1216032724230
SPT(16)	2712753276474434411	0 26 36 60 92 102 108 138 140 170 176 186 218 242 252 278	-1099532993226
STPT(10)	2712754139490592397	0 2 54 56 72 74 90 92 144 146	-236516835240
SPT(16)	2712754151290302131	0 18 56 60 68 78 80 108 110 138 140 150 158 162 200 218	-224717125506
STPT(10)	2712754229881160207	0 2 30 32 42 44 54 56 84 86	-146126267430
STPT(10)	2712754649175678629	0 2 18 20 30 32 42 44 60 62	273168250992
SPT(16)	2712754936799693789	0 42 44 80 92 104 108 122 180 194 198 210 222 258 260 302	560792266152
STPT(10)	2712755174940555929	0 2 18 20 30 32 42 44 60 62	798933128292
SPT(16)	2712755387800485551	0 2 42 60 62 80 86 116 222 252 258 276 278 296 336 338	1011793057914
SPT(16)	2712755823450342661	0 60 90 118 120 150 160 168 172 180 190 220 222 250 280 340	1447442915024