Prime p₀= 805558781065905071 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG]FX
db: batch=73, k=10, 2 4 2 10 2

STPT(10)	805558422151564397	0 2 30 32 42 44 54 56 84 86	-358914340674
SPT(16)	805558428243891559	0 30 34 42 48 52 58 100 102 144 150 154 160 168 172 202	-352822013512
TPT(14)	805558431517346231	0 2 48 50 90 92 126 128 138 140 156 158 258 260	-349548558840
SPT(16)	805558492741261243	0 4 6 10 66 106 130 144 196 210 234 274 330 334 336 340	-288324643828
STPT(10)	805558565636572367	0 2 42 44 72 74 102 104 144 146	-215429332704
SPT(16)	805558727883139459	0 12 22 88 118 190 228 232 270 274 312 384 414 480 490 502	-53182765612
SPT(16)	805558963227228493	0 6 28 54 90 96 108 118 156 166 178 184 220 246 268 274	182161323422
SPT(16)	805559097438545851	0 30 48 70 90 100 118 136 150 168 186 196 216 238 256 286	316372640780
STPT(10)	805559190615634757	0 2 30 32 42 44 54 56 84 86	409549729686
STPT(10)	805559383015257929	0 2 42 44 60 62 78 80 120 122	601949352858
TPT(14)	805559562933233531	0 2 126 128 168 170 210 212 288 290 360 362 390 392	781867328460