Prime p₀= 3011121785634419999 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: [SG]ATA-Rolf
db: batch=82, k=10, 2 10 2 76 2

STPT(10)	3011118883851689459	0 2 30 32 60 62 90 92 120 122	-2901782730540
STPT(10)	3011119391025493607	0 2 30 32 72 74 114 116 144 146	-2394608926392
SPT(16)	3011119861722539117	0 20 50 74 80 90 102 132 152 182 194 204 210 234 264 284	-1923911880882
SPT(16)	3011120313264737381	0 8 26 80 86 92 110 122 126 138 156 162 168 222 240 248	-1472369682618
STPT(10)	3011120543449088891	0 2 6 8 18 20 30 32 36 38	-1242185331108
STPT(10)	3011121615086186351	0 2 36 38 78 80 120 122 156 158	-170548233648
SPT(13)	3011122120854488519	0 30 42 60 102 120 162 204 222 264 282 294 324	335220068520
SPT(16)	3011122440777978641	0 8 30 48 66 72 78 108 140 170 176 182 200 218 240 248	655143558642
STPT(10)	3011122653552022937	0 2 42 44 72 74 102 104 144 146	867917602938
SPT(16)	3011123006741268547	0 34 36 42 64 112 154 156 160 162 204 252 274 280 282 316	1221106848548
SPT(16)	3011123263978364729	0 32 42 50 60 78 90 110 132 152 164 182 192 200 210 242	1478343944730