Prime p₀= 234685797778519037 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: gaballus
db: batch=69, k=10, 2 28 2 10 2

SPT(16)	234685755414740011	0 30 40 46 76 88 132 142 186 196 240 252 282 288 298 328	-42363779026
SPT(14)	234685767569216659	0 24 34 54 70 154 178 180 204 288 304 324 334 358	-30209302378
SPT(14)	234685768789142483	0 18 30 36 54 120 156 168 204 270 288 294 306 324	-28989376554
SPT(14)	234685768829814509	0 18 42 48 54 74 114 158 198 218 224 230 254 272	-28948704528
SPT(14)	234685774891522751	0 20 32 62 66 80 122 150 192 206 210 240 252 272	-22886996286
SPT(14)	234685777249112633	0 8 14 56 80 90 114 140 164 174 198 240 246 254	-20529406404
TPT(12)	234685805161966049	0 2 48 50 108 110 138 140 192 194 210 212	7383447012
SPT(14)	234685824932891663	0 18 30 66 80 90 116 300 326 336 350 386 398 416	27154372626
SPT(14)	234685845806001871	0 40 42 46 52 78 100 108 130 156 162 166 168 208	48027482834
SPT(14)	234685849656030659	0 54 60 74 80 90 98 144 152 162 168 182 188 242	51877511622
SPT(14)	234685856542322377	0 34 52 66 84 90 132 154 196 202 220 234 252 286	58763803340