Prime p₀= 1510588500188868011 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Spectrum
db: batch=78, k=10, 2 4 2 10 2

SPT(16)	1510587657921407621	0 20 26 150 156 180 206 240 248 282 308 332 338 462 468 488	-842267460390
SPT(16)	1510587758033746241	0 38 72 92 122 128 210 222 236 248 330 336 366 386 420 458	-742155121770
SPT(16)	1510587798508401329	0 12 30 38 68 72 90 92 168 170 188 192 222 230 248 260	-701680466682
SPT(16)	1510587808192404391	0 42 48 102 108 130 142 168 202 228 240 262 268 322 328 370	-691996463620
SPT(16)	1510588011273714367	0 66 106 124 154 166 180 210 220 250 264 276 306 324 364 430	-488915153644
STPT(10)	1510588388288020211	0 2 30 32 78 80 126 128 156 158	-111900847800
SPT(16)	1510588525745406641	0 8 18 32 36 42 72 108 140 176 206 212 216 230 240 248	25556538630
SPT(16)	1510588763313292139	0 68 92 120 122 144 164 180 182 198 218 240 242 270 294 362	263124424128
STPT(10)	1510589171553877661	0 2 36 38 78 80 120 122 156 158	671365009650
SPT(16)	1510589193699987857	0 24 32 66 74 96 120 144 242 266 290 312 320 354 362 386	693511119846
SPT(16)	1510589614219584403	0 4 16 24 30 66 84 136 198 250 268 304 310 318 330 334	1114030716392