Prime p₀= 2323344868686358799 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Landjunge
db: batch=81, k=10, 2 40 2 16 2

SPT(16)	2323343381781614653	0 4 6 10 18 88 90 108 136 154 156 226 234 238 240 244	-1486904744146
STPT(10)	2323343945341618007	0 2 12 14 72 74 132 134 144 146	-923344740792
SPT(16)	2323344606215072633	0 8 14 96 98 168 180 204 320 344 356 426 428 510 516 524	-262471286166
STPT(10)	2323344730647080909	0 2 18 20 30 32 42 44 60 62	-138039277890
SPT(16)	2323344746963948921	0 20 38 42 66 78 92 96 122 126 140 152 176 180 198 218	-121722409878
STPT(10)	2323344841946573741	0 2 6 8 18 20 30 32 36 38	-26739785058
SPT(16)	2323345223617277281	0 28 36 42 66 88 120 136 162 178 210 232 256 262 270 298	354930918482
SPT(16)	2323345367628095557	0 40 60 106 130 132 220 222 244 246 334 336 360 406 426 466	498941736758
STPT(10)	2323345526027141459	0 2 18 20 30 32 42 44 60 62	657340782660
STPT(10)	2323345593819746339	0 2 18 20 30 32 42 44 60 62	725133387540
SPT(16)	2323346317931340319	0 28 48 60 78 100 112 114 118 120 132 154 172 184 204 232	1449244981520