Prime p₀= 2035619771848220609 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Dingo
db: batch=80, k=10, 2 16 2 40 2

SPT(13)	2035617981111076507	0 36 120 132 186 210 216 222 246 300 312 396 432	-1790737144102
SPT(16)	2035618398947331491	0 30 42 56 80 116 152 168 170 186 222 258 282 296 308 338	-1372900889118
SPT(16)	2035618540750639111	0 18 22 28 36 40 66 88 120 142 168 172 180 186 190 208	-1231097581498
STPT(10)	2035619100372683381	0 2 6 8 48 50 90 92 96 98	-671475537228
STPT(10)	2035619633388353849	0 2 12 14 90 92 168 170 180 182	-138459866760
STPT(10)	2035619653625757971	0 2 210 212 228 230 246 248 456 458	-118222462638
SPT(16)	2035619796181255721	0 48 56 68 126 128 140 216 230 306 318 320 378 390 398 446	24333035112
STPT(12)	2035620615375066701	0 2 36 38 48 50 78 80 90 92 126 128	843526846092
STPT(10)	2035620629872843631	0 2 36 38 78 80 120 122 156 158	858024623022
SPT(16)	2035620813021444067	0 4 24 30 72 90 112 130 156 174 196 214 256 262 282 286	1041173223458
SPT(16)	2035620951590255591	0 30 42 48 72 90 156 170 228 242 308 326 350 356 368 398	1179742034982