Prime p₀= 2176177791664068131 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: [SG-FC] hl
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2176176159730602649	0 100 102 112 118 250 258 288 334 364 372 504 510 520 522 622	-1631933465482
SPT(16)	2176176319927850189	0 42 98 144 174 182 188 218 234 264 270 278 308 354 410 452	-1471736217942
SPT(16)	2176176432563678953	0 30 66 78 84 148 160 234 280 354 366 430 436 448 484 514	-1359100389178
SPT(16)	2176176681496611943	0 6 10 88 100 114 118 120 184 186 190 204 216 294 298 304	-1110167456188
STPT(10)	2176177285084561007	0 2 30 32 42 44 54 56 84 86	-506579507124
STPT(10)	2176177679605783001	0 2 36 38 78 80 120 122 156 158	-112058285130
TPT(14)	2176178116983004289	0 2 72 74 138 140 198 200 240 242 282 284 288 290	325318936158
SPT(16)	2176178405067878521	0 18 36 52 90 156 160 172 216 228 232 298 336 352 370 388	613403810390
SPT(16)	2176178653413577823	0 66 86 96 104 114 150 164 180 194 230 240 248 258 278 344	861749509692
STPT(10)	2176178709045292577	0 2 90 92 132 134 174 176 264 266	917381224446
STPT(10)	2176178872748699849	0 2 18 20 30 32 42 44 60 62	1081084631718