Prime p₀= 3011122653552022937 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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]ATA-Rolf
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	3011120313264737381	0 8 26 80 86 92 110 122 126 138 156 162 168 222 240 248	-2340287285556
STPT(10)	3011120543449088891	0 2 6 8 18 20 30 32 36 38	-2110102934046
STPT(10)	3011121615086186351	0 2 36 38 78 80 120 122 156 158	-1038465836586
STPT(10)	3011121785634419999	0 2 12 14 90 92 168 170 180 182	-867917602938
SPT(13)	3011122120854488519	0 30 42 60 102 120 162 204 222 264 282 294 324	-532697534418
SPT(16)	3011122440777978641	0 8 30 48 66 72 78 108 140 170 176 182 200 218 240 248	-212774044296
SPT(16)	3011123006741268547	0 34 36 42 64 112 154 156 160 162 204 252 274 280 282 316	353189245610
SPT(16)	3011123263978364729	0 32 42 50 60 78 90 110 132 152 164 182 192 200 210 242	610426341792
STPT(10)	3011123682671054771	0 2 6 8 18 20 30 32 36 38	1029119031834
STPT(10)	3011123759955919589	0 2 42 44 60 62 78 80 120 122	1106403896652
SPT(16)	3011123772753383527	0 34 42 84 120 126 130 142 204 216 220 226 262 304 312 346	1119201360590