Prime p₀= 3034510259403240557 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	3034507674846775747	0 16 42 60 76 90 124 142 144 162 196 210 226 244 270 286	-2584556464810
STPT(10)	3034507747717264961	0 2 6 8 18 20 30 32 36 38	-2511685975596
TPT(14)	3034508077906890251	0 2 18 20 36 38 60 62 78 80 120 122 168 170	-2181496350306
SPT(16)	3034509482859893021	0 36 42 62 90 96 146 152 210 216 266 272 300 320 326 362	-776543347536
STPT(10)	3034509560966855999	0 2 18 20 30 32 42 44 60 62	-698436384558
STPT(10)	3034510045560592481	0 2 36 38 78 80 120 122 156 158	-213842648076
STPT(10)	3034510361938722851	0 2 30 32 60 62 90 92 120 122	102535482294
SPT(13)	3034510362971816213	0 6 30 60 66 90 150 210 234 240 270 294 300	103568575656
STPT(10)	3034510381304750441	0 2 36 38 78 80 120 122 156 158	121901509884
STPT(10)	3034510541777446091	0 2 6 8 48 50 90 92 96 98	282374205534
STPT(10)	3034510716178051211	0 2 6 8 48 50 90 92 96 98	456774810654