Prime p₀= 2730141927681083327 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: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2730141344949788177	0 2 42 44 72 74 102 104 144 146	-582731295150
SPT(16)	2730141348903761213	0 126 170 198 224 270 278 288 326 336 344 390 416 444 488 614	-578777322114
SPT(16)	2730141550859089049	0 14 44 60 62 72 92 128 144 180 200 210 212 228 258 272	-376821994278
SPT(16)	2730141745231110593	0 80 108 158 168 258 264 290 294 320 326 416 426 476 504 584	-182449972734
STPT(10)	2730141793156934027	0 2 54 56 132 134 210 212 264 266	-134524149300
SPT(16)	2730141811061774203	0 6 40 48 66 96 100 138 178 216 220 250 268 276 310 316	-116619309124
TPT(16)	2730142092867567839	0 2 60 62 138 140 270 272 312 314 390 392 420 422 438 440	165186484512
SPT(16)	2730142250250861343	0 28 66 106 108 144 154 244 270 360 370 406 408 448 486 514	322569778016
SPT(16)	2730142945448125463	0 6 14 26 48 54 110 156 158 204 260 266 288 300 308 314	1017767042136
STPT(10)	2730143076690386387	0 2 30 32 60 62 90 92 120 122	1149009303060
STPT(10)	2730143439636318491	0 2 36 38 78 80 120 122 156 158	1511955235164