Prime p₀= 2117054334544583219 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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 28 2 28 2

SPT(16)	2117052632971180903	0 36 40 76 78 88 108 150 274 316 336 346 348 384 388 424	-1701573402316
STPT(10)	2117052869946066707	0 2 30 32 72 74 114 116 144 146	-1464598516512
TPT(14)	2117053029440522141	0 2 66 68 78 80 90 92 126 128 216 218 258 260	-1305104061078
STPT(10)	2117053030278250457	0 2 30 32 42 44 54 56 84 86	-1304266332762
STPT(10)	2117053101616716407	0 2 42 44 72 74 102 104 144 146	-1232927866812
STPT(10)	2117054210077653359	0 2 42 44 60 62 78 80 120 122	-124466929860
STPT(10)	2117054665791744221	0 2 6 8 48 50 90 92 96 98	331247161002
SPT(16)	2117054716655243221	0 6 16 90 112 132 156 216 262 322 346 366 388 462 472 478	382110660002
SPT(16)	2117055018033529537	0 22 106 196 210 222 234 250 276 292 304 316 330 420 504 526	683488946318
SPT(16)	2117055020048700503	0 14 36 56 90 104 114 120 170 176 186 200 234 254 276 290	685504117284
SPT(16)	2117055229998628789	0 4 30 48 72 84 112 114 148 150 178 190 214 232 258 262	895454045570