Prime p₀= 782420889943376657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [SG]steini
db: batch=73, k=10, 2 28 2 10 2

STPT(10)	782420203656665219	0 2 48 50 60 62 72 74 120 122	-686286711438
SPT(16)	782420491945518749	0 44 78 92 102 110 144 170 252 278 312 320 330 344 378 422	-397997857908
STPT(10)	782420546492284097	0 2 30 32 72 74 114 116 144 146	-343451092560
STPT(10)	782420681477880959	0 2 42 44 90 92 138 140 180 182	-208465495698
SPT(16)	782420681869977463	0 4 34 36 48 66 84 88 126 130 148 166 178 180 210 214	-208073399194
STPT(10)	782420860217338337	0 2 30 32 72 74 114 116 144 146	-29726038320
SPT(16)	782420990462529793	0 30 46 64 70 78 88 100 144 156 166 174 180 198 214 244	100519153136
SPT(16)	782421016139379371	0 6 20 60 72 96 102 110 132 140 146 170 182 222 236 242	126196002714
STPT(10)	782421330711645797	0 2 42 44 72 74 102 104 144 146	440768269140
STPT(10)	782421964022068421	0 2 6 8 18 20 30 32 36 38	1074078691764
STPT(12)	782422026649840319	0 2 12 14 72 74 78 80 138 140 150 152	1136706463662