Prime p₀= 3029453604081420959 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: ginga
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	3029452581597615583	0 4 76 90 130 144 154 166 288 300 310 324 364 378 450 454	-1022483805376
SPT(16)	3029452597115157721	0 22 40 58 78 100 106 118 120 132 138 160 180 198 216 238	-1006966263238
STPT(10)	3029452771683796721	0 2 6 8 48 50 90 92 96 98	-832397624238
STPT(10)	3029453002930531271	0 2 6 8 48 50 90 92 96 98	-601150889688
STPT(10)	3029453141081525297	0 2 42 44 72 74 102 104 144 146	-462999895662
SPT(16)	3029453305708092041	0 20 38 72 98 122 128 162 218 252 258 282 308 342 360 380	-298373328918
STPT(10)	3029453625936831341	0 2 66 68 138 140 210 212 276 278	21855410382
STPT(10)	3029453866778157617	0 2 30 32 42 44 54 56 84 86	262696736658
SPT(16)	3029454323481619433	0 44 66 78 134 138 140 168 206 234 236 240 296 308 330 374	719400198474
STPT(10)	3029454368867674841	0 2 36 38 78 80 120 122 156 158	764786253882
SPT(16)	3029454437896751911	0 28 70 118 120 180 186 226 270 310 316 376 378 426 468 496	833815330952