Prime p₀= 3179811357849707687 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: Hightower
db: batch=83, k=10, 2 28 2 10 2

SPT(16)	3179809891424527679	0 8 84 140 168 224 294 344 348 398 468 524 552 608 684 692	-1466425180008
SPT(16)	3179810147299197761	0 56 108 126 138 140 182 228 230 276 318 320 332 350 402 458	-1210550509926
SPT(16)	3179810283232464281	0 32 50 56 60 66 102 138 140 176 212 218 222 228 246 278	-1074617243406
SPT(22)	3179810627749101949	0 52 84 94 130 144 154 214 220 240 252 280 292 312 318 378 388 402 438 448 480 532	-730100605738
SPT(16)	3179810661772200257	0 6 50 60 62 90 114 176 180 242 266 294 296 306 350 356	-696077507430
STPT(10)	3179810932537329047	0 2 42 44 72 74 102 104 144 146	-425312378640
STPT(10)	3179811450152720489	0 2 78 80 120 122 162 164 240 242	92303012802
SPT(16)	3179811513520314713	0 6 8 50 66 78 96 150 176 230 248 260 276 318 320 326	155670607026
SPT(16)	3179811576746963801	0 18 30 80 122 132 158 168 170 180 206 216 258 308 320 338	218897256114
SPT(16)	3179811909596129581	0 16 22 42 72 82 148 186 352 390 456 466 496 516 522 538	551746421894
STPT(10)	3179812274696461907	0 2 24 26 42 44 60 62 84 86	916846754220