Prime p₀= 2042034351033348167 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Orange Kid
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2042033265174721051	0 28 70 72 78 90 100 112 276 288 298 310 316 318 360 388	-1085858627116
STPT(10)	2042033276570640959	0 2 12 14 90 92 168 170 180 182	-1074462707208
SPT(16)	2042033586856028603	0 56 80 126 164 194 216 234 290 308 330 360 398 444 468 524	-764177319564
SPT(16)	2042033857553069767	0 36 46 84 90 102 126 154 162 190 214 226 232 270 280 316	-493480278400
SPT(16)	2042034133730452051	0 46 60 82 130 136 142 180 238 276 282 288 336 358 372 418	-217302896116
SPT(18)	2042034164449599739	0 24 28 30 52 82 94 124 132 160 168 198 210 240 262 264 268 292	-186583748428
STPT(12)	2042034775546118357	0 2 30 32 42 44 102 104 114 116 144 146	424512770190
STPT(10)	2042034861472545761	0 2 6 8 48 50 90 92 96 98	510439197594
SPT(13)	2042034996776652739	0 30 54 102 114 144 162 180 210 222 270 294 324	645743304572
TPT(14)	2042035119624540737	0 2 30 32 72 74 144 146 264 266 300 302 312 314	768591192570
STPT(10)	2042035194214013417	0 2 12 14 42 44 72 74 84 86	843180665250