Prime p₀= 2034972276758615267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: Dingo
db: batch=80, k=10, 2 52 2 76 2

SPT(16)	2034971762020382167	0 10 42 54 76 136 154 156 160 162 180 240 262 274 306 316	-514738233100
SPT(16)	2034971837582818201	0 12 22 72 88 106 118 138 190 210 222 240 256 306 316 328	-439175797066
STPT(10)	2034971883550589309	0 2 18 20 30 32 42 44 60 62	-393208025958
STPT(10)	2034972070572969557	0 2 12 14 42 44 72 74 84 86	-206185645710
SPT(16)	2034972162550180787	0 24 30 50 84 86 96 126 164 194 204 206 240 260 266 290	-114208434480
SPT(16)	2034972251126734807	0 30 82 90 156 180 216 226 240 250 286 310 376 384 436 466	-25631880460
SPT(16)	2034972321444918839	0 14 32 78 98 110 120 128 144 152 162 174 194 240 258 272	44686303572
SPT(16)	2034972529308322213	0 16 18 54 58 64 70 78 106 114 120 126 130 166 168 184	252549706946
SPT(18)	2034972547049977141	0 6 12 22 40 52 76 126 132 166 172 222 246 258 276 286 292 298	270291361874
STPT(10)	2034972588367624469	0 2 12 14 90 92 168 170 180 182	311609009202
SPT(16)	2034972668593318381	0 6 42 48 58 70 88 90 208 210 228 240 250 256 292 298	391834703114