Prime p₀= 2842836646105758737 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2842835635799516627	0 12 44 56 72 74 84 116 210 242 252 254 270 282 314 326	-1010306242110
SPT(16)	2842836316481178481	0 6 10 22 28 66 76 88 90 102 112 150 156 168 172 178	-329624580256
SPT(16)	2842836446143997327	0 12 134 140 156 222 252 324 362 434 464 530 546 552 674 686	-199961761410
SPT(16)	2842836526204248179	0 30 144 168 170 194 198 288 320 410 414 438 440 464 578 608	-119901510558
SPT(16)	2842836578597532887	0 42 74 86 110 116 186 206 300 320 390 396 420 432 464 506	-67508225850
SPT(16)	2842836592288089461	0 12 18 30 32 110 126 140 168 182 198 276 278 290 296 308	-53817669276
STPT(10)	2842836908020688627	0 2 42 44 72 74 102 104 144 146	261914929890
SPT(16)	2842837176296581687	0 6 46 90 112 114 130 136 150 156 172 174 196 240 280 286	530190822950
SPT(16)	2842837222726873613	0 20 98 104 146 156 170 174 230 234 248 258 300 306 384 404	576621114876
SPT(16)	2842837819210426901	0 6 12 56 68 92 108 162 266 320 336 360 372 416 422 428	1173104668164
STPT(10)	2842838096695929929	0 2 42 44 60 62 78 80 120 122	1450590171192