Prime p₀= 1163968967320299167 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: mikey
db: batch=77, k=10, 2 22 2 16 2

SPT(20)	1163968333539889517	0 80 110 132 134 146 176 234 254 282 314 342 362 420 450 462 464 486 516 596	-633780409650
SPT(16)	1163968351684239223	0 6 70 90 108 148 150 154 240 244 246 286 304 324 388 394	-615636059944
STPT(10)	1163968388044821251	0 2 6 8 48 50 90 92 96 98	-579275477916
STPT(10)	1163968801887099587	0 2 30 32 42 44 54 56 84 86	-165433199580
SPT(16)	1163968911866303453	0 26 30 50 74 78 110 126 128 144 176 180 204 224 228 254	-55453995714
SPT(16)	1163968967047429703	0 14 18 30 66 140 146 156 158 168 174 248 284 296 300 314	-272869464
TPT(14)	1163969098012073357	0 2 30 32 42 44 90 92 102 104 132 134 144 146	130691774190
STPT(12)	1163969098012073357	0 2 30 32 42 44 90 92 102 104 132 134	130691774190
STPT(10)	1163969408852238809	0 2 18 20 30 32 42 44 60 62	441531939642
SPT(16)	1163969463009151129	0 4 18 22 42 90 100 102 160 162 172 220 240 244 258 262	495688851962
SPT(16)	1163969611881718099	0 28 54 78 112 132 138 208 234 304 310 330 364 388 414 442	644561418932