Prime p₀= 2678326941981860339 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Asgard2022
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	2678325320893647991	0 10 46 60 82 100 112 118 150 156 168 186 208 222 258 268	-1621088212348
SPT(16)	2678325545471806991	0 26 36 50 60 96 98 116 120 138 140 176 186 200 210 236	-1396510053348
SPT(16)	2678326212961041271	0 6 48 82 100 142 220 226 252 258 336 378 396 430 472 478	-729020819068
SPT(16)	2678326359238507723	0 58 70 96 168 184 196 198 256 258 270 286 358 384 396 454	-582743352616
STPT(10)	2678326654075966637	0 2 84 86 102 104 120 122 204 206	-287905893702
STPT(10)	2678326919510238251	0 2 90 92 168 170 246 248 336 338	-22471622088
SPT(16)	2678327538497316889	0 28 30 42 82 84 112 150 172 210 238 240 280 292 294 322	596515456550
SPT(16)	2678328172819925711	0 2 12 38 50 56 78 96 152 170 192 198 210 236 246 248	1230838065372
SPT(16)	2678328230391687857	0 20 86 92 102 126 132 140 162 170 176 200 210 216 282 302	1288409827518
STPT(10)	2678328844054876679	0 2 42 44 60 62 78 80 120 122	1902073016340
TPT(14)	2678329012884737591	0 2 78 80 108 110 156 158 240 242 288 290 306 308	2070902877252