Prime p₀= 1975135136280874499 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 76 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 198 200 240 242
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: 242
Found by: Orange Kid
db: batch=80, k=10, 2 40 2 76 2

SPT(16)	1975133170854050161	0 10 16 28 30 48 52 66 82 96 100 118 120 132 138 148	-1965426824338
SPT(16)	1975133270468222971	0 10 42 46 130 138 162 208 210 256 280 288 372 376 408 418	-1865812651528
SPT(16)	1975133366873433829	0 34 40 58 88 112 154 160 222 228 270 294 324 342 348 382	-1769407440670
SPT(16)	1975133445598906829	0 12 32 48 74 90 92 120 122 150 152 168 194 210 230 242	-1690681967670
SPT(16)	1975133624074732733	0 24 56 66 98 146 150 174 230 254 258 306 338 348 380 404	-1512206141766
SPT(16)	1975134694657740193	0 4 48 54 58 114 130 174 250 294 310 366 370 376 420 424	-441623134306
STPT(10)	1975135417977512627	0 2 42 44 72 74 102 104 144 146	281696638128
SPT(16)	1975136192152898153	0 44 54 114 126 140 176 224 240 288 324 338 350 410 420 464	1055872023654
SPT(16)	1975136589277987469	0 14 50 60 80 110 120 132 152 164 174 204 224 234 270 284	1452997112970
SPT(16)	1975136641180730309	0 2 24 38 42 44 98 102 170 174 228 230 234 248 270 272	1504899855810
STPT(10)	1975137041284730357	0 2 60 62 72 74 84 86 144 146	1905003855858