Prime p₀= 1122632160322121567 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: crashtech
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1122631362352583189	0 2 32 60 74 122 144 192 212 260 282 330 344 372 402 404	-797969538378
STPT(10)	1122631441035933371	0 2 6 8 48 50 90 92 96 98	-719286188196
SPT(16)	1122631488845305477	0 10 12 22 30 96 106 112 150 156 166 232 240 250 252 262	-671476816090
SPT(18)	1122631573543462397	0 20 44 56 104 150 210 216 252 254 290 296 356 402 450 462 486 506	-586778659170
TPT(16)	1122631880510458991	0 2 138 140 156 158 246 248 330 332 360 362 408 410 420 422	-279811662576
TPT(14)	1122632039735089421	0 2 18 20 30 32 66 68 168 170 180 182 198 200	-120587032146
SPT(16)	1122632214005408017	0 30 52 156 174 184 196 202 234 240 252 262 280 384 406 436	53683286450
STPT(12)	1122632247928051109	0 2 12 14 30 32 42 44 60 62 72 74	87605929542
STPT(10)	1122632286144788537	0 2 24 26 42 44 60 62 84 86	125822666970
STPT(10)	1122632289239965109	0 2 12 14 90 92 168 170 180 182	128917843542
SPT(16)	1122632488874179693	0 16 34 70 124 144 180 186 238 244 280 300 354 390 408 424	328552058126