Prime p₀= 1268552585480148539 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Megacruncher
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1268551767573843847	0 12 30 42 70 94 136 156 160 180 222 246 274 286 304 316	-817906304692
SPT(16)	1268551854155410399	0 28 60 130 168 190 222 238 264 280 312 334 372 442 474 502	-731324738140
SPT(16)	1268551898933507819	0 24 42 72 78 92 120 134 228 242 270 284 290 320 338 362	-686546640720
STPT(10)	1268551915536109049	0 2 18 20 30 32 42 44 60 62	-669944039490
STPT(10)	1268552369157307049	0 2 12 14 30 32 48 50 60 62	-216322841490
SPT(13)	1268552452389696053	0 6 48 66 90 126 138 150 186 210 228 270 276	-133090452486
SPT(16)	1268552938731404611	0 18 42 82 126 148 172 202 216 246 270 292 336 376 400 418	353251256072
SPT(13)	1268553410346719209	0 42 72 102 114 144 192 240 270 282 312 342 384	824866570670
SPT(16)	1268553544891633801	0 6 12 36 66 72 126 162 210 246 300 306 336 360 366 372	959411485262
STPT(10)	1268553836762557361	0 2 30 32 78 80 126 128 156 158	1251282408822
STPT(10)	1268554151105360891	0 2 30 32 78 80 126 128 156 158	1565625212352