Prime p₀= 741125851385796089 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Theadalus
db: batch=73, k=10, 2 10 2 76 2

STPT(12)	741124301858142407	0 2 30 32 60 62 72 74 102 104 132 134	-1549527653682
STPT(12)	741124358234319509	0 2 30 32 60 62 72 74 102 104 132 134	-1493151476580
SPT(16)	741124446532633129	0 18 28 58 82 88 130 148 162 180 222 228 252 282 292 310	-1404853162960
SPT(16)	741125435715385361	0 36 102 116 158 168 188 212 216 240 260 270 312 326 392 428	-415670410728
SPT(16)	741125682978409919	0 38 80 108 110 164 194 210 218 234 264 318 320 348 390 428	-168407386170
SPT(16)	741125845606833787	0 52 72 112 162 190 234 276 370 412 456 484 534 574 594 646	-5778962302
SPT(16)	741126295153976317	0 54 82 102 120 144 180 202 222 244 280 304 322 342 370 424	443768180228
STPT(12)	741126424768799747	0 2 12 14 30 32 54 56 72 74 84 86	573383003658
STPT(10)	741126602649868049	0 2 18 20 30 32 42 44 60 62	751264071960
TPT(14)	741126813820637987	0 2 12 14 30 32 42 44 54 56 114 116 150 152	962434841898
STPT(10)	741126835863007367	0 2 54 56 72 74 90 92 144 146	984477211278