Prime p₀= 1458691256433712121 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Theadalus
db: batch=78, k=10, 2 4 2 10 2

SPT(13)	1458690656464540321	0 12 30 42 60 102 120 138 180 198 210 228 240	-599969171800
SPT(16)	1458690833310804227	0 2 72 122 140 164 182 212 222 252 270 294 312 362 432 434	-423122907894
STPT(10)	1458690894935405357	0 2 30 32 72 74 114 116 144 146	-361498306764
STPT(10)	1458691163347988621	0 2 6 8 18 20 30 32 36 38	-93085723500
STPT(10)	1458691196064598607	0 2 42 44 72 74 102 104 144 146	-60369113514
TPT(14)	1458691204190542919	0 2 42 44 48 50 78 80 102 104 210 212 252 254	-52243169202
TPT(16)	1458691898779098869	0 2 12 14 30 32 72 74 138 140 198 200 252 254 312 314	642345386748
STPT(10)	1458691928783309159	0 2 18 20 30 32 42 44 60 62	672349597038
SPT(16)	1458691991638749481	0 60 66 78 102 118 138 148 150 160 180 196 220 232 238 298	735205037360
SPT(16)	1458692474822845909	0 40 78 124 148 150 154 168 190 204 208 210 234 280 318 358	1218389133788
SPT(16)	1458692738709066911	0 78 92 108 120 138 186 206 222 242 290 308 320 336 350 428	1482275354790