Prime p₀= 2378094899542710317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: [SG-2W]Kurzer
db: batch=81, k=10, 2 10 2 58 2

STPT(10)	2378093532383135519	0 2 78 80 120 122 162 164 240 242	-1367159574798
SPT(16)	2378093674885961797	0 10 22 30 64 72 76 90 136 150 154 162 196 204 216 226	-1224656748520
STPT(10)	2378094008000743787	0 2 42 44 72 74 102 104 144 146	-891541966530
SPT(16)	2378094166370382991	0 12 48 60 70 72 82 90 178 186 196 198 208 220 256 268	-733172327326
STPT(10)	2378094277411058387	0 2 24 26 42 44 60 62 84 86	-622131651930
SPT(16)	2378094528224581951	0 22 30 82 88 102 168 198 220 250 316 330 336 388 396 418	-371318128366
SPT(16)	2378095020624923689	0 22 34 70 88 102 124 144 148 168 190 204 222 258 270 292	121082213372
STPT(10)	2378095055123892059	0 2 42 44 90 92 138 140 180 182	155581181742
STPT(10)	2378095080631866719	0 2 12 14 30 32 48 50 60 62	181089156402
STPT(10)	2378095435670012867	0 2 54 56 72 74 90 92 144 146	536127302550
STPT(12)	2378095449709085087	0 2 42 44 60 62 114 116 132 134 174 176	550166374770