Prime p₀= 2053834557183123677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Landjunge
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2053833267054157549	0 22 52 70 90 142 220 244 270 294 372 424 444 462 492 514	-1290128966128
SPT(16)	2053833267147267191	0 36 42 92 102 110 120 180 188 248 258 266 276 326 332 368	-1290035856486
SPT(16)	2053833343041181531	0 40 42 58 60 70 82 142 156 216 228 238 240 256 258 298	-1214141942146
STPT(10)	2053833727979036777	0 2 42 44 72 74 102 104 144 146	-829204086900
STPT(10)	2053833812061242567	0 2 30 32 72 74 114 116 144 146	-745121881110
STPT(10)	2053833911208633647	0 2 30 32 60 62 90 92 120 122	-645974490030
STPT(10)	2053834642143733619	0 2 18 20 30 32 42 44 60 62	84960609942
STPT(10)	2053835201747079809	0 2 42 44 60 62 78 80 120 122	644563956132
STPT(10)	2053835337552688379	0 2 18 20 30 32 42 44 60 62	780369564702
SPT(16)	2053835339992068287	0 32 42 44 72 74 114 144 152 182 222 224 252 254 264 296	782808944610
TPT(14)	2053835558875819421	0 2 48 50 66 68 138 140 180 182 216 218 300 302	1001692695744