Prime p₀= 2841423361257997697 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-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2841422276029300423	0 4 18 28 36 70 94 108 166 180 204 238 246 256 270 274	-1085228697274
SPT(16)	2841422400169310743	0 10 48 66 76 90 100 108 136 144 154 168 178 196 234 244	-961088686954
STPT(12)	2841422464452970457	0 2 42 44 54 56 120 122 132 134 174 176	-896805027240
SPT(16)	2841422743633882747	0 10 70 76 84 174 226 240 280 294 346 436 444 450 510 520	-617624114950
SPT(16)	2841422824062701839	0 64 100 154 160 174 178 228 244 294 298 312 318 372 408 472	-537195295858
STPT(10)	2841423058641922631	0 2 30 32 60 62 90 92 120 122	-302616075066
STPT(10)	2841424044278704151	0 2 36 38 78 80 120 122 156 158	683020706454
SPT(16)	2841424228867889177	0 2 14 24 44 60 140 170 204 234 314 330 350 360 372 374	867609891480
SPT(16)	2841424250919852757	0 22 34 54 70 84 102 106 150 154 172 186 202 222 234 256	889661855060
STPT(10)	2841424840949206541	0 2 30 32 120 122 210 212 240 242	1479691208844
TPT(14)	2841425191911044747	0 2 150 152 162 164 192 194 222 224 264 266 360 362	1830653047050