Prime p₀= 1268559894339804257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Megacruncher
db: batch=77, k=10, 2 40 2 28 2

SPT(16)	1268559369959471741	0 26 48 50 78 132 170 182 216 228 266 320 348 350 372 398	-524380332516
SPT(16)	1268559464605840273	0 28 48 88 130 138 150 166 180 196 208 216 258 298 318 346	-429733963984
SPT(16)	1268559473382965419	0 12 18 42 90 118 120 148 192 220 222 250 298 322 328 340	-420956838838
SPT(16)	1268559555571956953	0 68 74 84 110 128 140 180 218 258 270 288 314 324 330 398	-338767847304
SPT(16)	1268559620682460069	0 10 22 64 84 130 138 178 204 244 252 298 318 360 372 382	-273657344188
SPT(16)	1268559637792336699	0 10 28 34 40 42 78 82 90 94 130 132 138 144 162 172	-256547467558
SPT(16)	1268560061357525609	0 8 30 54 110 134 170 210 212 252 288 312 368 392 414 422	167017721352
SPT(16)	1268560162557754793	0 20 38 84 90 158 180 206 258 284 306 374 380 426 444 464	268217950536
SPT(16)	1268560630303039309	0 4 22 54 70 82 84 118 264 298 300 312 328 360 378 382	735963235052
STPT(10)	1268560852971250721	0 2 36 38 78 80 120 122 156 158	958631446464
SPT(16)	1268561142788504911	0 10 12 48 106 126 132 150 178 196 202 222 280 316 318 328	1248448700654