Prime p₀= 2583204179599835567 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2583202955618278619	0 62 90 104 108 138 168 192 380 404 434 464 468 482 510 572	-1223981556948
SPT(16)	2583203376457500497	0 30 152 156 176 204 224 254 372 402 422 450 470 474 596 626	-803142335070
SPT(18)	2583203831566706987	0 14 72 86 104 126 144 174 176 240 242 272 290 312 330 344 402 416	-348033128580
SPT(16)	2583203838656826739	0 34 100 120 148 154 204 310 312 418 468 474 502 522 588 622	-340943008828
SPT(16)	2583203849623582333	0 18 24 30 120 126 136 154 180 198 208 214 304 310 316 334	-329976253234
SPT(16)	2583203926554431267	0 36 44 66 84 150 170 176 240 246 266 332 350 372 380 416	-253045404300
STPT(10)	2583204302253813809	0 2 18 20 30 32 42 44 60 62	122653978242
SPT(16)	2583204411404443301	0 12 38 68 90 132 146 158 180 192 206 248 270 300 326 338	231804607734
SPT(16)	2583204418767438913	0 6 16 30 46 54 58 84 130 156 160 168 184 198 208 214	239167603346
SPT(16)	2583204659013185881	0 16 88 112 130 142 172 190 198 216 246 258 276 300 372 388	479413350314
SPT(16)	2583204914823610589	0 24 44 72 108 140 150 152 210 212 222 254 290 318 338 362	735223775022