Prime p₀= 2034972588367624469 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Dingo
db: batch=80, k=10, 2 10 2 76 2

SPT(16)	2034972162550180787	0 24 30 50 84 86 96 126 164 194 204 206 240 260 266 290	-425817443682
SPT(16)	2034972251126734807	0 30 82 90 156 180 216 226 240 250 286 310 376 384 436 466	-337240889662
STPT(10)	2034972276758615267	0 2 54 56 132 134 210 212 264 266	-311609009202
SPT(16)	2034972321444918839	0 14 32 78 98 110 120 128 144 152 162 174 194 240 258 272	-266922705630
SPT(16)	2034972529308322213	0 16 18 54 58 64 70 78 106 114 120 126 130 166 168 184	-59059302256
SPT(18)	2034972547049977141	0 6 12 22 40 52 76 126 132 166 172 222 246 258 276 286 292 298	-41317647328
SPT(16)	2034972668593318381	0 6 42 48 58 70 88 90 208 210 228 240 250 256 292 298	80225693912
SPT(16)	2034973112216614657	0 6 66 70 94 124 150 154 222 226 252 282 306 310 370 376	523848990188
TPT(14)	2034973221038537621	0 2 6 8 30 32 48 50 216 218 228 230 240 242	632670913152
STPT(10)	2034973244059256231	0 2 90 92 150 152 210 212 300 302	655691631762
STPT(10)	2034973746160580039	0 2 12 14 90 92 168 170 180 182	1157792955570