Prime p₀= 2767460978884678589 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(16)	2767459561636168601	0 38 80 108 116 132 138 168 170 200 206 222 230 258 300 338	-1417248509988
STPT(12)	2767459596268128941	0 2 48 50 60 62 156 158 168 170 216 218	-1382616549648
SPT(16)	2767460041981034879	0 8 14 50 72 84 90 98 114 122 128 140 162 198 204 212	-936903643710
SPT(16)	2767460045332442363	0 50 54 66 80 98 138 150 224 236 276 294 308 320 324 374	-933552236226
SPT(16)	2767460409454302161	0 12 26 96 158 186 200 210 218 228 242 270 332 402 416 428	-569430376428
STPT(10)	2767460931418120037	0 2 60 62 72 74 84 86 144 146	-47466558552
STPT(10)	2767461156460225367	0 2 72 74 102 104 132 134 204 206	177575546778
SPT(16)	2767461278556026201	0 2 18 30 32 86 90 120 128 158 162 216 218 230 246 248	299671347612
STPT(10)	2767461450336084947	0 2 30 32 42 44 54 56 84 86	471451406358
SPT(16)	2767461489443447021	0 2 12 60 66 68 92 122 156 186 210 212 218 266 276 278	510558768432
SPT(13)	2767461677217596057	0 24 30 54 84 90 132 174 180 210 234 240 264	698332917468