Prime p₀= 1267725549978167177 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 70 2 70 2 28 2 (?)
a_n: 0 2 30 32 102 104 174 176 204 206
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: 206
Found by: Megacruncher
db: batch=77, k=10, 2 28 2 70 2

SPT(16)	1267725061486382591	0 50 56 68 80 86 92 126 152 186 192 198 210 222 228 278	-488491784586
SPT(16)	1267725072771323791	0 28 36 48 58 70 150 190 198 238 318 330 340 352 360 388	-477206843386
STPT(10)	1267725222268915271	0 2 36 38 78 80 120 122 156 158	-327709251906
SPT(16)	1267725304569100693	0 16 28 84 88 94 144 166 198 220 270 276 280 336 348 364	-245409066484
STPT(10)	1267725383465416817	0 2 30 32 42 44 54 56 84 86	-166512750360
STPT(10)	1267725468671599547	0 2 30 32 42 44 54 56 84 86	-81306567630
STPT(10)	1267726158054502217	0 2 30 32 42 44 54 56 84 86	608076335040
SPT(16)	1267726845834966823	0 34 36 64 76 144 150 160 180 190 196 264 276 304 306 340	1295856799646
STPT(10)	1267727612236737107	0 2 30 32 42 44 54 56 84 86	2062258569930
SPT(16)	1267727615955165769	0 18 24 52 112 118 172 174 208 210 264 270 330 358 364 382	2065976998592
SPT(16)	1267728169229498707	0 30 42 52 132 136 156 216 220 280 300 304 384 394 406 436	2619251331530