Prime p₀= 2827002672195400817 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2827001618572771001	0 18 26 48 68 96 110 150 176 216 230 258 278 300 308 326	-1053622629816
STPT(10)	2827001660288802497	0 2 54 56 72 74 90 92 144 146	-1011906598320
TPT(14)	2827002163493935067	0 2 12 14 60 62 114 116 180 182 264 266 312 314	-508701465750
STPT(10)	2827002507732593249	0 2 12 14 90 92 168 170 180 182	-164462807568
STPT(10)	2827002559257815357	0 2 12 14 42 44 72 74 84 86	-112937585460
STPT(10)	2827002588375591851	0 2 36 38 78 80 120 122 156 158	-83819808966
SPT(16)	2827002701347425199	0 18 42 78 162 174 180 184 228 232 238 250 334 370 394 412	29152024382
SPT(16)	2827002706182896753	0 18 24 44 54 68 128 134 144 150 210 224 234 254 260 278	33987495936
SPT(16)	2827002767997209107	0 40 52 102 124 144 166 190 276 300 322 342 364 414 426 466	95801808290
SPT(16)	2827002892989851357	0 6 36 56 60 62 110 122 204 216 264 266 270 290 320 326	220794450540
SPT(16)	2827003046293528721	0 176 180 182 198 218 282 342 386 446 510 530 546 548 552 728	374098127904