Prime p₀= 1040781668065391669 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: stoneageman
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1040779695616433987	0 2 30 32 42 44 54 56 84 86	-1972448957682
SPT(16)	1040780202441985781	0 2 42 48 72 80 98 102 128 132 150 158 182 188 228 230	-1465623405888
SPT(16)	1040780401688258963	0 8 18 30 44 98 146 156 158 168 216 270 284 296 306 314	-1266377132706
STPT(10)	1040780490416120099	0 2 48 50 60 62 72 74 120 122	-1177649271570
SPT(16)	1040780649712204987	0 4 22 46 60 82 120 124 132 136 174 196 210 234 252 256	-1018353186682
STPT(10)	1040781296806886819	0 2 18 20 30 32 42 44 60 62	-371258504850
STPT(10)	1040782267951470017	0 2 30 32 42 44 54 56 84 86	599886078348
STPT(10)	1040782268745103499	0 2 18 20 30 32 42 44 60 62	600679711830
STPT(10)	1040782408825403339	0 2 18 20 30 32 42 44 60 62	740760011670
STPT(12)	1040782474660045991	0 2 18 20 30 32 96 98 108 110 126 128	806594654322
SPT(16)	1040782864225267591	0 22 82 96 136 138 168 178 240 250 280 282 322 336 396 418	1196159875922