Prime p₀= 2327701089393883961 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2327699062183738519	0 24 28 72 90 132 138 174 268 304 310 352 370 414 418 442	-2027210145442
TPT(16)	2327699299715658551	0 2 90 92 126 128 138 140 168 170 180 182 210 212 216 218	-1789678225410
SPT(16)	2327699485115694967	0 12 70 72 96 114 120 186 250 316 322 340 364 366 424 436	-1604278188994
SPT(16)	2327700119444444351	0 8 26 38 68 78 96 110 216 230 248 258 288 300 318 326	-969949439610
SPT(16)	2327700208052598451	0 28 36 42 66 78 88 106 132 150 160 172 196 202 210 238	-881341285510
SPT(16)	2327700282207418427	0 14 44 80 84 102 114 134 150 170 182 200 204 240 270 284	-807186465534
SPT(16)	2327701282794071669	0 2 14 44 60 72 102 132 140 170 200 212 228 258 270 272	193400187708
STPT(10)	2327701523402114537	0 2 60 62 72 74 84 86 144 146	434008230576
STPT(10)	2327701907023806491	0 2 6 8 48 50 90 92 96 98	817629922530
SPT(16)	2327701956274537873	0 16 34 46 64 76 78 84 220 226 228 240 258 270 288 304	866880653912
TPT(14)	2327702078584525457	0 2 12 14 150 152 180 182 402 404 504 506 570 572	989190641496