Prime p₀= 726850370996304221 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: Theadalus
db: batch=73, k=10, 2 4 2 10 2

STPT(10)	726849295710950351	0 2 30 32 60 62 90 92 120 122	-1075285353870
STPT(10)	726849352988720579	0 2 48 50 60 62 72 74 120 122	-1018007583642
STPT(10)	726849368727548189	0 2 12 14 30 32 48 50 60 62	-1002268756032
STPT(10)	726849383694814349	0 2 12 14 30 32 48 50 60 62	-987301489872
STPT(10)	726850153328066819	0 2 42 44 60 62 78 80 120 122	-217668237402
SPT(13)	726850365003566317	0 42 54 72 90 114 132 150 174 192 210 222 264	-5992737904
STPT(10)	726850411295904977	0 2 42 44 72 74 102 104 144 146	40299600756
STPT(10)	726850585981253651	0 2 30 32 78 80 126 128 156 158	214984949430
STPT(10)	726850655992772537	0 2 30 32 72 74 114 116 144 146	284996468316
SPT(16)	726850786152378799	0 10 28 84 108 132 148 160 162 174 190 214 238 294 312 322	415156074578
STPT(10)	726850857477640079	0 2 18 20 30 32 42 44 60 62	486481335858