Prime p₀= 2055667857896154389 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Orange Kid
db: batch=80, k=10, 2 16 2 10 2

STPT(10)	2055665295565733177	0 2 30 32 42 44 54 56 84 86	-2562330421212
SPT(16)	2055665598951740983	0 6 18 96 120 160 198 204 250 256 294 334 358 436 448 454	-2258944413406
SPT(16)	2055665614193715889	0 10 22 54 78 82 102 144 148 190 210 214 238 270 282 292	-2243702438500
STPT(10)	2055666794600440157	0 2 180 182 222 224 264 266 444 446	-1063295714232
SPT(16)	2055666997637485643	0 38 48 80 98 108 116 126 158 168 176 186 204 236 246 284	-860258668746
SPT(16)	2055667396057962629	0 12 20 48 50 62 68 78 194 204 210 222 224 252 260 272	-461838191760
STPT(10)	2055668055267167177	0 2 12 14 72 74 132 134 144 146	197371012788
SPT(16)	2055668309319430879	0 30 42 52 72 100 112 154 240 282 294 322 342 352 364 394	451423276490
SPT(16)	2055668928610516381	0 28 78 180 192 210 262 298 312 348 400 418 430 532 582 610	1070714361992
STPT(10)	2055669242325322331	0 2 36 38 78 80 120 122 156 158	1384429167942
SPT(16)	2055669437443621253	0 14 20 48 90 104 108 140 168 200 204 218 260 288 294 308	1579547466864