Prime p₀= 2327588110065508229 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: Orange Kid
db: batch=81, k=10, 2 40 2 16 2

SPT(16)	2327587170814612261	0 22 42 48 88 168 190 192 196 198 220 300 340 346 366 388	-939250895968
SPT(16)	2327587355001757549	0 18 52 60 108 112 184 220 282 318 390 394 442 450 484 502	-755063750680
STPT(10)	2327587609125957557	0 2 30 32 42 44 54 56 84 86	-500939550672
STPT(10)	2327587845992976557	0 2 12 14 42 44 72 74 84 86	-264072531672
SPT(16)	2327588001721921849	0 28 84 88 94 124 138 150 172 184 198 228 234 238 294 322	-108343586380
STPT(10)	2327588037401653811	0 2 36 38 78 80 120 122 156 158	-72663854418
STPT(10)	2327588499849752717	0 2 30 32 42 44 54 56 84 86	389784244488
SPT(20)	2327588559135756641	0 30 60 90 102 132 140 152 156 170 228 242 246 258 266 296 308 338 368 398	449070248412
SPT(16)	2327588671235177461	0 40 48 66 96 100 192 222 256 286 378 382 412 430 438 478	561169669232
SPT(16)	2327588711328873077	0 42 56 60 116 144 150 156 290 296 302 330 386 390 404 446	601263364848
STPT(10)	2327588936620964459	0 2 18 20 60 62 102 104 120 122	826555456230