Prime p₀= 1362921169826892017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: emoga
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1362918351447552871	0 12 28 46 70 76 102 142 156 196 222 228 252 270 286 298	-2818379339146
STPT(10)	1362918497127024359	0 2 18 20 30 32 42 44 60 62	-2672699867658
STPT(10)	1362918557703167147	0 2 42 44 72 74 102 104 144 146	-2612123724870
SPT(16)	1362919198847839019	0 18 32 72 90 92 102 128 132 158 168 170 188 228 242 260	-1970979052998
SPT(16)	1362919478909044367	0 54 72 80 86 156 180 182 234 236 260 330 336 344 362 416	-1690917847650
TPT(14)	1362921092167436861	0 2 66 68 78 80 96 98 168 170 246 248 330 332	-77659455156
SPT(16)	1362921260605041721	0 28 48 108 112 136 178 322 366 510 552 576 580 640 660 688	90778149704
SPT(16)	1362921366518036167	0 10 22 24 36 72 94 120 196 222 244 280 292 294 306 316	196691144150
SPT(16)	1362921367788510319	0 18 30 100 102 114 154 180 202 228 268 280 282 352 364 382	197961618302
SPT(16)	1362921407333417857	0 16 76 90 100 142 150 210 226 286 294 336 346 360 420 436	237506525840
STPT(10)	1362921489210510179	0 2 18 20 30 32 42 44 60 62	319383618162