Prime p₀= 2053833812061242567 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: Landjunge
db: batch=80, k=10, 2 28 2 40 2

SPT(16)	2053833215066086717	0 4 76 82 120 126 154 162 214 222 250 256 294 300 372 376	-596995155850
SPT(16)	2053833216732792661	0 40 46 70 96 112 126 130 132 136 150 166 192 216 222 262	-595328449906
SPT(16)	2053833267054157549	0 22 52 70 90 142 220 244 270 294 372 424 444 462 492 514	-545007085018
SPT(16)	2053833267147267191	0 36 42 92 102 110 120 180 188 248 258 266 276 326 332 368	-544913975376
SPT(16)	2053833343041181531	0 40 42 58 60 70 82 142 156 216 228 238 240 256 258 298	-469020061036
STPT(10)	2053833727979036777	0 2 42 44 72 74 102 104 144 146	-84082205790
STPT(10)	2053833911208633647	0 2 30 32 60 62 90 92 120 122	99147391080
STPT(10)	2053834557183123677	0 2 30 32 42 44 54 56 84 86	745121881110
STPT(10)	2053834642143733619	0 2 18 20 30 32 42 44 60 62	830082491052
STPT(10)	2053835201747079809	0 2 42 44 60 62 78 80 120 122	1389685837242
STPT(10)	2053835337552688379	0 2 18 20 30 32 42 44 60 62	1525491445812