Prime p₀= 3006716095380490301 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Orange Kid
db: batch=82, k=10, 2 4 2 40 2

SPT(16)	3006714608778061241	0 2 20 60 78 90 98 102 128 132 140 152 170 210 228 230	-1486602429060
STPT(10)	3006715058339241251	0 2 36 38 78 80 120 122 156 158	-1037041249050
STPT(10)	3006715464648417341	0 2 66 68 138 140 210 212 276 278	-630732072960
STPT(12)	3006715603829457857	0 2 72 74 84 86 150 152 162 164 234 236	-491551032444
SPT(16)	3006715965522453889	0 12 28 52 78 84 102 172 210 280 298 304 330 354 370 382	-129858036412
SPT(16)	3006716008942870073	0 36 50 56 80 84 90 146 168 224 230 234 258 264 278 314	-86437620228
SPT(16)	3006716188312625101	0 22 78 118 120 162 180 322 426 568 586 628 630 670 726 748	92932134800
STPT(10)	3006716411492762789	0 2 18 20 30 32 42 44 60 62	316112272488
STPT(10)	3006717025565165399	0 2 12 14 90 92 168 170 180 182	930184675098
SPT(16)	3006717270123794441	0 30 102 120 132 168 188 198 200 210 230 266 278 296 368 398	1174743304140
SPT(16)	3006717309957778759	0 52 82 84 108 114 130 150 202 222 238 244 268 270 300 352	1214577288458