Prime p₀= 2396870885217421799 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Xenon
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2396868996306501967	0 42 66 90 154 172 180 342 544 706 714 732 796 820 844 886	-1888910919832
STPT(10)	2396869223186186867	0 2 24 26 42 44 60 62 84 86	-1662031234932
STPT(10)	2396869716023987291	0 2 6 8 48 50 90 92 96 98	-1169193434508
SPT(16)	2396869806757127099	0 30 32 48 68 80 98 102 110 114 132 144 164 180 182 212	-1078460294700
SPT(16)	2396870110273658141	0 12 42 68 72 90 110 128 132 150 170 188 192 218 248 260	-774943763658
SPT(16)	2396870700626549201	0 18 42 62 96 108 152 176 192 216 260 272 306 326 350 368	-184590872598
SPT(16)	2396872043556382957	0 22 24 54 154 204 222 232 234 244 262 312 412 442 444 466	1158338961158
STPT(10)	2396872325677439567	0 2 12 14 42 44 72 74 84 86	1440460017768
STPT(10)	2396872376715957317	0 2 60 62 72 74 84 86 144 146	1491498535518
STPT(10)	2396872551234420167	0 2 30 32 42 44 54 56 84 86	1666016998368
SPT(16)	2396872748006493049	0 30 40 42 90 112 132 142 198 208 228 250 298 300 310 340	1862789071250