Prime p₀= 2039130072767372909 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Landjunge
db: batch=80, k=10, 2 40 2 16 2

STPT(10)	2039128429342143257	0 2 24 26 42 44 60 62 84 86	-1643425229652
SPT(16)	2039128842630061151	0 12 78 102 116 128 140 170 228 258 270 282 296 320 386 398	-1230137311758
SPT(16)	2039129009356153633	0 6 46 66 94 114 210 220 234 244 340 360 388 408 448 454	-1063411219276
SPT(16)	2039129219918937151	0 12 18 22 48 90 96 118 180 202 208 250 276 280 286 298	-852848435758
SPT(16)	2039129390837086283	0 36 54 60 120 138 156 186 218 248 266 284 344 350 368 404	-681930286626
SPT(16)	2039129904585361963	0 6 34 70 78 96 154 166 168 180 238 256 264 300 328 334	-168182010946
STPT(10)	2039130177716592869	0 2 18 20 30 32 42 44 60 62	104949219960
STPT(10)	2039130265538290751	0 2 30 32 78 80 126 128 156 158	192770917842
SPT(16)	2039130588248225827	0 12 36 40 132 144 166 174 202 210 232 244 336 340 364 376	515480852918
TPT(14)	2039130649178272577	0 2 42 44 54 56 72 74 90 92 144 146 174 176	576410899668
STPT(10)	2039130937981094051	0 2 6 8 48 50 90 92 96 98	865213721142