Prime p₀= 740396023930747757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Merowig
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	740395491370095053	0 26 30 44 86 96 114 120 140 146 164 174 216 230 234 260	-532560652704
STPT(10)	740395564503579041	0 2 30 32 78 80 126 128 156 158	-459427168716
SPT(16)	740395575329104633	0 4 24 78 130 136 144 154 180 190 198 204 256 310 330 334	-448601643124
SPT(16)	740395604863218173	0 6 48 80 104 114 140 146 168 174 200 210 234 266 308 314	-419067529584
SPT(13)	740395656107530571	0 12 42 66 96 102 126 150 156 186 210 240 252	-367823217186
TPT(14)	740395937929840889	0 2 72 74 102 104 138 140 180 182 312 314 492 494	-86000906868
SPT(16)	740396110185723919	0 54 58 82 124 168 180 184 198 202 214 258 300 324 328 382	86254976162
STPT(10)	740397029868370241	0 2 6 8 48 50 90 92 96 98	1005937622484
STPT(10)	740397112810664987	0 2 30 32 42 44 54 56 84 86	1088879917230
STPT(10)	740397229856883629	0 2 18 20 30 32 42 44 60 62	1205926135872
SPT(16)	740397449059854959	0 42 60 62 90 150 170 182 318 330 350 410 438 440 458 500	1425129107202