Prime p₀= 726829568254447127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: GLeeM
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	726828385634301883	0 58 66 136 148 220 280 300 304 324 384 456 468 538 546 604	-1182620145244
SPT(16)	726828518034871841	0 32 36 72 80 92 116 138 140 162 186 198 206 242 246 278	-1050219575286
SPT(16)	726828598912966313	0 8 24 26 30 36 66 80 114 128 158 164 168 170 186 194	-969341480814
STPT(10)	726828620624406197	0 2 60 62 72 74 84 86 144 146	-947630040930
STPT(10)	726829262871091337	0 2 60 62 72 74 84 86 144 146	-305383355790
SPT(16)	726829473082210577	0 2 14 30 50 80 84 92 114 122 126 156 176 192 204 206	-95172236550
STPT(10)	726829905293391041	0 2 6 8 18 20 30 32 36 38	337038943914
TPT(14)	726830001818946869	0 2 48 50 60 62 138 140 180 182 252 254 282 284	433564499742
SPT(16)	726830069352312047	0 12 14 42 44 62 84 90 146 152 174 192 194 222 224 236	501097864920
SPT(16)	726830171670506593	0 48 78 88 96 160 180 216 328 364 384 448 456 466 496 544	603416059466
STPT(10)	726830189469128159	0 2 18 20 30 32 42 44 60 62	621214681032