Prime p₀= 1023223061263600961 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: stoneageman
db: batch=76, k=10, 2 28 2 46 2

SPT(16)	1023221611509299551	0 6 16 90 100 108 126 136 150 160 178 186 196 270 280 286	-1449754301410
SPT(16)	1023221702440172509	0 10 42 54 58 70 112 130 162 180 222 234 238 250 282 292	-1358823428452
SPT(16)	1023221762162051027	0 44 60 66 104 116 120 170 246 296 300 312 350 356 372 416	-1299101549934
STPT(10)	1023222065406096947	0 2 30 32 42 44 54 56 84 86	-995857504014
SPT(16)	1023222237122752879	0 4 18 64 88 112 114 120 142 148 150 174 198 244 258 262	-824140848082
STPT(10)	1023222242490889937	0 2 60 62 72 74 84 86 144 146	-818772711024
STPT(10)	1023223243478979467	0 2 12 14 42 44 72 74 84 86	182215378506
STPT(10)	1023223259363188547	0 2 42 44 72 74 102 104 144 146	198099587586
SPT(16)	1023223448250668389	0 40 82 84 114 118 142 148 174 180 204 208 238 240 282 322	386987067428
STPT(10)	1023223457862909617	0 2 30 32 72 74 114 116 144 146	396599308656
STPT(10)	1023223821947311739	0 2 18 20 30 32 42 44 60 62	760683710778