Prime p₀= 1246863692001096311 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: emoga
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1246861673756807443	0 10 48 54 58 60 66 84 100 118 124 126 130 136 174 184	-2018244288868
SPT(16)	1246861773315390887	0 12 32 74 114 140 212 224 270 282 354 380 420 462 482 494	-1918685705424
SPT(16)	1246861999127026489	0 4 72 82 142 148 162 180 232 250 264 270 330 340 408 412	-1692874069822
STPT(10)	1246862831962168241	0 2 6 8 18 20 30 32 36 38	-860038928070
STPT(12)	1246862996149602539	0 2 30 32 78 80 162 164 210 212 240 242	-695851493772
STPT(12)	1246863366992773097	0 2 12 14 42 44 162 164 192 194 204 206	-325008323214
SPT(16)	1246863713773153181	0 32 72 90 102 110 140 168 200 228 258 266 278 296 336 368	21772056870
SPT(16)	1246863749948856187	0 12 30 46 52 142 144 156 250 262 264 354 360 376 394 406	57947759876
SPT(16)	1246863761947510139	0 12 30 32 38 44 54 80 132 158 168 174 180 182 200 212	69946413828
STPT(12)	1246864019590180007	0 2 30 32 42 44 90 92 102 104 132 134	327589083696
TPT(14)	1246864391980524659	0 2 42 44 102 104 138 140 168 170 210 212 312 314	699979428348