Prime p₀= 2799119172392348747 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2799117547033984829	0 8 14 30 32 98 134 158 174 198 234 300 302 318 324 332	-1625358363918
SPT(16)	2799118266127773533	0 26 38 60 84 86 98 108 116 126 138 140 164 186 198 224	-906264575214
SPT(16)	2799118423519648843	0 6 16 30 34 78 88 106 138 156 166 210 214 228 238 244	-748872699904
STPT(12)	2799118673760186647	0 2 42 44 60 62 114 116 132 134 174 176	-498632162100
TPT(14)	2799118767596752787	0 2 42 44 60 62 90 92 114 116 174 176 180 182	-404795595960
SPT(16)	2799119008655039677	0 10 34 46 66 84 90 102 154 166 172 190 210 222 246 256	-163737309070
SPT(16)	2799119327946242011	0 6 22 72 120 132 138 156 172 190 196 208 256 306 322 328	155553893264
SPT(16)	2799119464911053161	0 16 22 96 126 210 216 232 300 316 322 406 436 510 516 532	292518704414
TPT(14)	2799119465389553741	0 2 66 68 108 110 138 140 156 158 210 212 246 248	292997204994
TPT(16)	2799119586653666789	0 2 78 80 120 122 342 344 372 374 468 470 498 500 522 524	414261318042
SPT(16)	2799119653094196097	0 12 52 66 94 124 150 156 250 256 282 312 340 354 394 406	480701847350