Prime p₀= 2089721893805962259 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Conan
db: batch=80, k=10, 2 16 2 10 2

TPT(14)	2089721044808873261	0 2 36 38 60 62 90 92 126 128 210 212 258 260	-848997088998
STPT(10)	2089721199474488771	0 2 36 38 78 80 120 122 156 158	-694331473488
TPT(14)	2089721223719100311	0 2 30 32 60 62 96 98 198 200 216 218 228 230	-670086861948
SPT(16)	2089721379011325197	0 20 54 80 116 132 144 194 222 272 284 300 336 362 396 416	-514794637062
STPT(10)	2089721529126371249	0 2 48 50 90 92 132 134 180 182	-364679591010
SPT(16)	2089721759230060883	0 14 26 36 44 50 56 110 114 168 174 180 188 198 210 224	-134575901376
TPT(14)	2089722280539088289	0 2 78 80 132 134 150 152 210 212 288 290 330 332	386733126030
SPT(16)	2089722480324730403	0 18 20 104 176 188 194 246 248 300 306 318 390 474 476 494	586518768144
SPT(16)	2089722898035416737	0 16 46 70 84 130 132 162 184 214 216 262 276 300 330 346	1004229454478
SPT(16)	2089723039290211051	0 16 42 60 70 82 96 126 172 202 216 228 238 256 282 298	1145484248792
STPT(10)	2089723729013430449	0 2 18 20 60 62 102 104 120 122	1835207468190