Prime p₀= 854375199152310137 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: sellyme
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	854373916376396803	0 4 10 48 66 144 148 150 154 156 160 238 256 294 300 304	-1282775913334
STPT(10)	854374185833511779	0 2 42 44 60 62 78 80 120 122	-1013318798358
TPT(14)	854375038528597007	0 2 90 92 114 116 132 134 144 146 162 164 204 206	-160623713130
SPT(16)	854375073998194163	0 60 240 284 288 296 318 350 354 386 408 416 420 464 644 704	-125154115974
SPT(16)	854375103367801913	0 20 56 60 80 86 128 140 174 186 228 234 254 258 294 314	-95784508224
TPT(14)	854375103433501157	0 2 30 32 60 62 132 134 144 146 180 182 300 302	-95718808980
TPT(14)	854375628776893679	0 2 30 32 108 110 150 152 222 224 240 242 288 290	429624583542
SPT(16)	854375657437973263	0 4 10 88 190 238 244 250 258 264 270 318 420 498 504 508	458285663126
STPT(10)	854376121434496007	0 2 12 14 42 44 72 74 84 86	922282185870
SPT(16)	854376360926119753	0 10 78 96 108 120 124 130 144 150 154 166 178 196 264 274	1161773809616
SPT(16)	854376591351350953	0 4 18 84 118 160 174 208 216 250 264 306 340 406 420 424	1392199040816