Prime p₀= 3010710992725065599 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: eclipse99
db: batch=82, k=10, 2 10 2 16 2

SPT(16)	3010708957223697469	0 28 70 90 108 132 148 202 210 264 280 304 322 342 384 412	-2035501368130
SPT(16)	3010709971380660701	0 8 18 32 38 42 66 78 80 92 116 120 126 140 150 158	-1021344404898
SPT(16)	3010710453846202369	0 42 64 72 84 138 148 190 342 384 394 448 460 468 490 532	-538878863230
STPT(10)	3010710464434234979	0 2 18 20 30 32 42 44 60 62	-528290830620
STPT(10)	3010710487200504587	0 2 90 92 102 104 114 116 204 206	-505524561012
SPT(16)	3010710846498483901	0 12 16 22 36 76 90 100 132 142 156 196 210 216 220 232	-146226581698
SPT(16)	3010711220562040361	0 6 32 60 62 72 80 92 156 168 176 186 188 216 242 248	227836974762
STPT(10)	3010711265881007537	0 2 30 32 60 62 90 92 120 122	273155941938
STPT(10)	3010711674111181067	0 2 24 26 42 44 60 62 84 86	681386115468
STPT(10)	3010712077790648849	0 2 48 50 60 62 72 74 120 122	1085065583250
SPT(16)	3010712382362254379	0 18 20 68 80 108 134 168 200 234 260 288 300 348 350 368	1389637188780