Prime p₀= 944577789426067799 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: stoneageman
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	944575452373067839	0 18 22 24 70 100 120 130 132 142 162 192 238 240 244 262	-2337052999960
SPT(16)	944575902017550371	0 6 50 78 90 108 116 126 140 150 158 176 188 216 260 266	-1887408517428
SPT(16)	944575994870408633	0 36 96 98 104 144 176 200 204 228 260 300 306 308 368 404	-1794555659166
STPT(10)	944576103635072771	0 2 30 32 78 80 126 128 156 158	-1685790995028
STPT(10)	944576794949959079	0 2 18 20 30 32 42 44 60 62	-994476108720
STPT(10)	944577358841466377	0 2 30 32 42 44 54 56 84 86	-430584601422
STPT(10)	944578166176403567	0 2 12 14 42 44 72 74 84 86	376750335768
STPT(10)	944578306448322389	0 2 18 20 30 32 42 44 60 62	517022254590
STPT(10)	944578396789887887	0 2 30 32 42 44 54 56 84 86	607363820088
SPT(16)	944578803906666871	0 10 46 60 88 90 120 126 172 178 208 210 238 252 288 298	1014480599072
SPT(16)	944578824480346493	0 6 26 96 114 198 204 216 218 230 236 320 338 408 428 434	1035054278694