Prime p₀= 2157812608316026967 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2157811494974016487	0 16 22 30 34 46 84 132 184 232 270 282 286 294 300 316	-1113342010480
STPT(10)	2157811550782308389	0 2 48 50 90 92 132 134 180 182	-1057533718578
SPT(18)	2157811738134273097	0 6 10 30 70 126 132 160 162 184 186 214 220 276 316 336 340 346	-870181753870
SPT(16)	2157812240689611799	0 34 42 60 88 102 130 172 210 252 280 294 322 340 348 382	-367626415168
SPT(16)	2157812569470433943	0 6 8 20 78 86 138 188 288 338 390 398 456 468 470 476	-38845593024
TPT(14)	2157812578006095551	0 2 6 8 48 50 78 80 90 92 186 188 288 290	-30309931416
STPT(12)	2157813026000841089	0 2 60 62 102 104 138 140 180 182 240 242	417684814122
SPT(16)	2157813085554720691	0 6 10 52 60 70 96 130 138 172 198 208 216 258 262 268	477238693724
SPT(16)	2157813199280060303	0 24 44 50 66 98 128 156 218 246 276 308 324 330 350 374	590964033336
SPT(16)	2157813200870965423	0 10 84 100 120 144 148 154 234 240 244 268 288 304 378 388	592554938456
SPT(16)	2157813272194577993	0 6 8 14 36 48 56 80 84 108 116 128 150 156 158 164	663878551026