Prime p₀= 726829905293391041 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: GLeeM
db: batch=73, k=10, 2 4 2 10 2

SPT(16)	726828518034871841	0 32 36 72 80 92 116 138 140 162 186 198 206 242 246 278	-1387258519200
SPT(16)	726828598912966313	0 8 24 26 30 36 66 80 114 128 158 164 168 170 186 194	-1306380424728
STPT(10)	726828620624406197	0 2 60 62 72 74 84 86 144 146	-1284668984844
STPT(10)	726829262871091337	0 2 60 62 72 74 84 86 144 146	-642422299704
SPT(16)	726829473082210577	0 2 14 30 50 80 84 92 114 122 126 156 176 192 204 206	-432211180464
STPT(10)	726829568254447127	0 2 30 32 42 44 54 56 84 86	-337038943914
TPT(14)	726830001818946869	0 2 48 50 60 62 138 140 180 182 252 254 282 284	96525555828
SPT(16)	726830069352312047	0 12 14 42 44 62 84 90 146 152 174 192 194 222 224 236	164058921006
SPT(16)	726830171670506593	0 48 78 88 96 160 180 216 328 364 384 448 456 466 496 544	266377115552
STPT(10)	726830189469128159	0 2 18 20 30 32 42 44 60 62	284175737118
STPT(10)	726830248773622307	0 2 30 32 72 74 114 116 144 146	343480231266