Prime p₀= 2320322503922938817 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [SG-2W]Kurzer
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2320320857521716229	0 42 64 88 90 94 120 130 192 202 228 232 234 258 280 322	-1646401222588
SPT(16)	2320320860019397673	0 6 54 86 116 138 144 146 168 170 176 198 228 260 308 314	-1643903541144
STPT(10)	2320321479271018841	0 2 36 38 78 80 120 122 156 158	-1024651919976
STPT(12)	2320322017676168159	0 2 78 80 90 92 120 122 132 134 210 212	-486246770658
STPT(10)	2320322213158949969	0 2 12 14 30 32 48 50 60 62	-290763988848
SPT(16)	2320322241569513263	0 10 24 54 70 76 78 120 124 166 168 174 190 220 234 244	-262353425554
TPT(14)	2320322669409006929	0 2 78 80 132 134 210 212 240 242 372 374 408 410	165486068112
STPT(10)	2320322704825518707	0 2 12 14 42 44 72 74 84 86	200902579890
SPT(16)	2320322830643181841	0 42 88 130 168 192 222 240 250 268 298 322 360 402 448 490	326720243024
STPT(10)	2320323571487442527	0 2 30 32 42 44 54 56 84 86	1067564503710
SPT(16)	2320323590211310907	0 6 42 84 152 164 240 252 254 266 342 354 422 464 500 506	1086288372090