Prime p₀= 2804312400617564279 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=10, 2 40 2 16 2

SPT(13)	2804311086950207617	0 12 60 90 96 102 156 210 216 222 252 300 312	-1313667356662
SPT(16)	2804311344985364047	0 16 22 30 42 60 64 84 142 162 166 184 196 204 210 226	-1055632200232
STPT(10)	2804311431337939331	0 2 6 8 48 50 90 92 96 98	-969279624948
SPT(16)	2804311477317413267	0 54 72 96 102 120 140 144 152 156 176 194 200 224 242 296	-923300151012
TPT(14)	2804311816782144869	0 2 30 32 90 92 132 134 252 254 300 302 312 314	-583835419410
STPT(10)	2804312082614794649	0 2 18 20 30 32 42 44 60 62	-318002769630
STPT(10)	2804312730656073389	0 2 18 20 30 32 42 44 60 62	330038509110
STPT(10)	2804312793590483699	0 2 18 20 30 32 42 44 60 62	392972919420
STPT(10)	2804312831109922799	0 2 42 44 60 62 78 80 120 122	430492358520
SPT(16)	2804312853985903067	0 2 12 26 30 36 54 56 210 212 230 236 240 254 264 266	453368338788
SPT(16)	2804312890451766599	0 20 44 90 110 122 152 170 174 192 222 234 254 300 324 344	489834202320