Prime p₀= 2456269266257695247 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 58 2 10 2

SPT(16)	2456268084951923819	0 2 24 42 110 122 128 140 162 174 180 192 260 278 300 302	-1181305771428
STPT(10)	2456268135509308817	0 2 54 56 72 74 90 92 144 146	-1130748386430
TPT(14)	2456268532928225369	0 2 12 14 72 74 132 134 168 170 228 230 312 314	-733329469878
SPT(16)	2456268649433014369	0 18 30 42 52 72 78 84 88 94 100 120 130 142 154 172	-616824680878
TPT(14)	2456268927850500599	0 2 18 20 42 44 132 134 222 224 258 260 300 302	-338407194648
STPT(10)	2456269016725952927	0 2 42 44 72 74 102 104 144 146	-249531742320
STPT(10)	2456270027695694009	0 2 48 50 60 62 72 74 120 122	761437998762
STPT(10)	2456270128680451817	0 2 30 32 42 44 54 56 84 86	862422756570
STPT(10)	2456270661035257667	0 2 42 44 72 74 102 104 144 146	1394777562420
TPT(14)	2456270723364167891	0 2 30 32 96 98 108 110 150 152 318 320 408 410	1457106472644
SPT(18)	2456271016045658171	0 2 6 20 38 50 78 122 162 266 306 350 378 390 408 422 426 428	1749787962924