Prime p₀= 2958476680595273657 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: Roadranner
db: batch=82, k=10, 2 28 2 10 2

TPT(14)	2958474573742659731	0 2 48 50 60 62 90 92 138 140 210 212 240 242	-2106852613926
STPT(10)	2958474868464676409	0 2 30 32 60 62 90 92 120 122	-1812130597248
SPT(16)	2958475284405983129	0 42 50 78 128 138 152 162 188 198 212 222 272 300 308 350	-1396189290528
STPT(10)	2958475543502440601	0 2 6 8 48 50 90 92 96 98	-1137092833056
SPT(16)	2958475786277074747	0 4 34 54 60 120 160 190 360 390 430 490 496 516 546 550	-894318198910
STPT(10)	2958476112437782379	0 2 18 20 60 62 102 104 120 122	-568157491278
STPT(10)	2958476760502111109	0 2 48 50 60 62 72 74 120 122	79906837452
SPT(16)	2958477183396596713	0 10 48 54 120 148 150 196 258 304 306 334 400 406 444 454	502801323056
STPT(10)	2958477260404629749	0 2 30 32 60 62 90 92 120 122	579809356092
STPT(10)	2958477301534492559	0 2 48 50 90 92 132 134 180 182	620939218902
STPT(10)	2958478274147161061	0 2 6 8 18 20 30 32 36 38	1593551887404