Prime p₀= 2152578957509372177 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: ginga
db: batch=81, k=10, 2 28 2 88 2

SPT(16)	2152577959410365387	0 14 60 66 90 102 104 150 176 222 224 236 260 266 312 326	-998099006790
SPT(16)	2152578174361904479	0 72 102 108 120 142 150 168 172 190 198 220 232 238 268 340	-783147467698
SPT(16)	2152578200798913449	0 18 50 60 108 122 132 162 170 200 210 224 272 282 314 332	-756710458728
STPT(10)	2152578302782145237	0 2 24 26 42 44 60 62 84 86	-654727226940
SPT(16)	2152578306463037473	0 10 28 34 40 66 118 154 180 216 268 294 300 306 324 334	-651046334704
SPT(16)	2152578450136275737	0 56 86 104 140 176 182 206 300 324 330 366 402 420 450 506	-507373096440
SPT(16)	2152579037586508199	0 12 30 102 128 168 258 270 350 362 452 492 518 590 608 620	80077136022
SPT(16)	2152579091386323667	0 22 42 126 174 196 204 214 312 322 330 352 400 484 504 526	133876951490
SPT(16)	2152579647537038099	0 42 72 78 84 144 150 158 174 182 188 248 254 260 290 332	690027665922
TPT(14)	2152579799467022621	0 2 36 38 48 50 66 68 78 80 120 122 150 152	841957650444
STPT(10)	2152579913708236709	0 2 48 50 90 92 132 134 180 182	956198864532