Prime p₀= 1510589171553877661 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Spectrum
db: batch=78, k=10, 2 34 2 40 2

SPT(16)	1510587808192404391	0 42 48 102 108 130 142 168 202 228 240 262 268 322 328 370	-1363361473270
SPT(16)	1510588011273714367	0 66 106 124 154 166 180 210 220 250 264 276 306 324 364 430	-1160280163294
STPT(10)	1510588388288020211	0 2 30 32 78 80 126 128 156 158	-783265857450
STPT(10)	1510588500188868011	0 2 6 8 18 20 30 32 36 38	-671365009650
SPT(16)	1510588525745406641	0 8 18 32 36 42 72 108 140 176 206 212 216 230 240 248	-645808471020
SPT(16)	1510588763313292139	0 68 92 120 122 144 164 180 182 198 218 240 242 270 294 362	-408240585522
SPT(16)	1510589193699987857	0 24 32 66 74 96 120 144 242 266 290 312 320 354 362 386	22146110196
SPT(16)	1510589614219584403	0 4 16 24 30 66 84 136 198 250 268 304 310 318 330 334	442665706742
SPT(16)	1510590056907396383	0 14 48 114 140 150 158 168 206 216 224 234 260 326 360 374	885353518722
TPT(14)	1510590066817638797	0 2 102 104 144 146 174 176 180 182 210 212 222 224	895263761136
STPT(10)	1510591004209110557	0 2 30 32 42 44 54 56 84 86	1832655232896