Prime p₀= 2396869223186186867 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Xenon
db: batch=81, k=10, 2 22 2 16 2

STPT(10)	2396867610876595457	0 2 42 44 72 74 102 104 144 146	-1612309591410
SPT(16)	2396867909328979937	0 6 36 50 54 56 74 116 120 162 180 182 186 200 230 236	-1313857206930
SPT(16)	2396867952755382137	0 44 50 110 114 120 150 180 194 224 254 260 264 324 330 374	-1270430804730
STPT(10)	2396868082466049989	0 2 18 20 30 32 42 44 60 62	-1140720136878
STPT(10)	2396868610673208977	0 2 30 32 42 44 54 56 84 86	-612512977890
SPT(16)	2396868996306501967	0 42 66 90 154 172 180 342 544 706 714 732 796 820 844 886	-226879684900
STPT(10)	2396869716023987291	0 2 6 8 48 50 90 92 96 98	492837800424
SPT(16)	2396869806757127099	0 30 32 48 68 80 98 102 110 114 132 144 164 180 182 212	583570940232
SPT(16)	2396870110273658141	0 12 42 68 72 90 110 128 132 150 170 188 192 218 248 260	887087471274
SPT(16)	2396870700626549201	0 18 42 62 96 108 152 176 192 216 260 272 306 326 350 368	1477440362334
STPT(10)	2396870885217421799	0 2 18 20 30 32 42 44 60 62	1662031234932