Prime p₀= 2053835201747079809 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Landjunge
db: batch=80, k=10, 2 40 2 16 2

SPT(16)	2053833343041181531	0 40 42 58 60 70 82 142 156 216 228 238 240 256 258 298	-1858705898278
STPT(10)	2053833727979036777	0 2 42 44 72 74 102 104 144 146	-1473768043032
STPT(10)	2053833812061242567	0 2 30 32 72 74 114 116 144 146	-1389685837242
STPT(10)	2053833911208633647	0 2 30 32 60 62 90 92 120 122	-1290538446162
STPT(10)	2053834557183123677	0 2 30 32 42 44 54 56 84 86	-644563956132
STPT(10)	2053834642143733619	0 2 18 20 30 32 42 44 60 62	-559603346190
STPT(10)	2053835337552688379	0 2 18 20 30 32 42 44 60 62	135805608570
SPT(16)	2053835339992068287	0 32 42 44 72 74 114 144 152 182 222 224 252 254 264 296	138244988478
TPT(14)	2053835558875819421	0 2 48 50 66 68 138 140 180 182 216 218 300 302	357128739612
SPT(16)	2053836081598013161	0 28 66 70 82 138 142 186 232 276 280 336 348 352 390 418	879850933352
SPT(16)	2053836170167471091	0 2 6 12 56 72 86 108 110 132 146 162 206 212 216 218	968420391282