Prime p₀= 2894004474074449829 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: Conan
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2894003023911339409	0 34 40 72 82 112 132 138 154 160 180 210 220 252 258 292	-1450163110420
SPT(16)	2894003556618037937	0 6 30 36 42 50 56 72 110 126 132 140 146 152 176 182	-917456411892
SPT(16)	2894003666412922841	0 8 12 18 38 42 68 110 150 192 218 222 242 248 252 260	-807661526988
STPT(10)	2894004010778165627	0 2 24 26 42 44 60 62 84 86	-463296284202
SPT(16)	2894004061069522001	0 6 30 42 68 102 152 156 212 216 266 300 326 338 362 368	-413004927828
STPT(10)	2894004370221759161	0 2 6 8 48 50 90 92 96 98	-103852690668
SPT(16)	2894004508157623253	0 44 54 78 84 138 150 158 246 254 266 320 326 350 360 404	34083173424
SPT(16)	2894004663772917301	0 6 12 46 106 126 150 166 216 232 256 276 336 370 376 382	189698467472
SPT(16)	2894005096764248437	0 22 36 54 66 76 106 124 132 150 180 190 202 220 234 256	622689798608
SPT(16)	2894005102826638127	0 32 56 110 194 222 252 312 434 494 524 552 636 690 714 746	628752188298
STPT(10)	2894005126314344639	0 2 18 20 60 62 102 104 120 122	652239894810