Prime p₀= 2121198875586046367 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 40 2 28 2

SPT(16)	2121198242447440859	0 8 30 48 62 80 98 110 150 162 180 198 212 230 252 260	-633138605508
TPT(14)	2121198319112255417	0 2 12 14 144 146 180 182 192 194 210 212 234 236	-556473790950
STPT(10)	2121198387612475079	0 2 18 20 30 32 42 44 60 62	-487973571288
SPT(16)	2121198486387840823	0 10 34 54 84 88 118 144 160 186 216 220 250 270 294 304	-389198205544
STPT(10)	2121198712176853577	0 2 30 32 72 74 114 116 144 146	-163409192790
STPT(10)	2121198857498825957	0 2 30 32 72 74 114 116 144 146	-18087220410
SPT(16)	2121199026423734437	0 12 22 42 90 120 144 160 174 190 214 244 292 312 322 334	150837688070
STPT(10)	2121199926287024579	0 2 138 140 150 152 162 164 300 302	1050700978212
STPT(10)	2121200127813761387	0 2 30 32 42 44 54 56 84 86	1252227715020
TPT(14)	2121200400130832561	0 2 30 32 60 62 78 80 168 170 228 230 378 380	1524544786194
SPT(16)	2121200506847192959	0 4 18 48 82 84 94 154 198 258 268 270 304 334 348 352	1631261146592