Prime p₀= 1572037659720620759 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: Skivelitis2
db: batch=78, k=10, 2 40 2 16 2

STPT(10)	1572036077626126109	0 2 48 50 90 92 132 134 180 182	-1582094494650
STPT(10)	1572036277677010931	0 2 36 38 78 80 120 122 156 158	-1382043609828
STPT(10)	1572036715475478137	0 2 30 32 42 44 54 56 84 86	-944245142622
SPT(16)	1572036910617865243	0 28 100 118 144 168 210 250 258 298 340 364 390 408 480 508	-749102755516
STPT(10)	1572036937312601939	0 2 12 14 90 92 168 170 180 182	-722408018820
STPT(10)	1572037159753339397	0 2 30 32 42 44 54 56 84 86	-499967281362
SPT(16)	1572038024180799061	0 28 52 78 90 102 132 190 258 316 346 358 370 396 420 448	364460178302
SPT(16)	1572038044805988659	0 20 42 48 60 74 98 120 152 174 198 212 224 230 252 272	385085367900
SPT(16)	1572038493071150417	0 20 32 54 56 60 66 102 104 140 146 150 152 174 186 206	833350529658
SPT(16)	1572038718202649449	0 12 30 54 60 70 78 90 112 124 132 142 148 172 190 202	1058482028690
SPT(16)	1572038864721452767	0 22 24 34 52 84 94 106 210 222 232 264 282 292 294 316	1205000832008