Prime p₀= 1023223243478979467 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: stoneageman
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1023221702440172509	0 10 42 54 58 70 112 130 162 180 222 234 238 250 282 292	-1541038806958
SPT(16)	1023221762162051027	0 44 60 66 104 116 120 170 246 296 300 312 350 356 372 416	-1481316928440
STPT(10)	1023222065406096947	0 2 30 32 42 44 54 56 84 86	-1178072882520
SPT(16)	1023222237122752879	0 4 18 64 88 112 114 120 142 148 150 174 198 244 258 262	-1006356226588
STPT(10)	1023222242490889937	0 2 60 62 72 74 84 86 144 146	-1000988089530
STPT(10)	1023223061263600961	0 2 30 32 78 80 126 128 156 158	-182215378506
STPT(10)	1023223259363188547	0 2 42 44 72 74 102 104 144 146	15884209080
SPT(16)	1023223448250668389	0 40 82 84 114 118 142 148 174 180 204 208 238 240 282 322	204771688922
STPT(10)	1023223457862909617	0 2 30 32 72 74 114 116 144 146	214383930150
STPT(10)	1023223821947311739	0 2 18 20 30 32 42 44 60 62	578468332272
STPT(10)	1023223838914145819	0 2 18 20 30 32 42 44 60 62	595435166352