Prime p₀= 1263996283405283957 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Theadalus
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1263994684397859833	0 24 26 108 144 174 188 200 264 276 290 320 356 438 440 464	-1599007424124
SPT(16)	1263994758840584801	0 56 60 72 78 90 98 116 132 150 158 170 176 188 192 248	-1524564699156
STPT(10)	1263995860861189271	0 2 6 8 48 50 90 92 96 98	-422544094686
SPT(16)	1263995865340035283	0 4 40 54 58 60 70 88 96 114 124 126 130 144 180 184	-418065248674
STPT(10)	1263995929869482519	0 2 48 50 90 92 132 134 180 182	-353535801438
STPT(10)	1263995951584595231	0 2 30 32 60 62 90 92 120 122	-331820688726
SPT(16)	1263996799139678273	0 8 18 98 126 134 140 186 248 294 300 308 336 416 426 434	515734394316
TPT(14)	1263996884384530937	0 2 54 56 60 62 174 176 180 182 222 224 240 242	600979246980
SPT(16)	1263997072513541671	0 30 76 100 120 180 210 216 232 238 268 328 348 372 418 448	789108257714
TPT(14)	1263997125241661981	0 2 18 20 78 80 198 200 216 218 228 230 240 242	841836378024
STPT(10)	1263997140967490141	0 2 36 38 78 80 120 122 156 158	857562206184