Prime p₀= 1010047729054305827 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: stoneageman
db: batch=76, k=10, 2 10 2 58 2

SPT(16)	1010046358475870987	0 6 14 56 116 152 264 372 374 482 594 630 690 732 740 746	-1370578434840
TPT(16)	1010046800336779277	0 2 90 92 114 116 174 176 204 206 270 272 282 284 354 356	-928717526550
SPT(16)	1010047170049152581	0 56 62 66 92 110 126 132 140 146 162 180 206 210 216 272	-559005153246
SPT(16)	1010047314892349729	0 30 42 80 108 132 140 210 230 300 308 332 360 398 410 440	-414161956098
SPT(16)	1010047449494647013	0 50 74 86 98 156 176 270 284 378 398 456 468 480 504 554	-279559658814
SPT(16)	1010047548376674167	0 12 20 54 62 66 72 86 150 164 170 174 182 216 224 236	-180677631660
SPT(18)	1010047794209058673	0 6 34 46 106 148 160 178 204 220 246 264 276 318 378 390 418 424	65154752846
SPT(16)	1010048139085954693	0 4 6 18 30 36 58 90 154 186 208 214 226 238 240 244	410031648866
SPT(18)	1010048286204792223	0 36 124 156 166 184 186 190 214 240 264 268 270 288 298 330 418 454	557150486396
STPT(10)	1010048329536652487	0 2 42 44 72 74 102 104 144 146	600482346660
SPT(16)	1010048609964170503	0 70 168 214 234 258 306 348 376 418 466 490 510 556 654 724	880909864676