Prime p₀= 2549405521687721237 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	2549403128504108047	0 36 64 100 120 142 166 184 222 240 264 286 306 342 370 406	-2393183613190
SPT(16)	2549403309271990597	0 40 66 70 76 82 136 142 150 156 210 216 222 226 252 292	-2212415730640
SPT(16)	2549403344204259331	0 10 40 76 90 106 118 132 166 180 192 208 222 258 288 298	-2177483461906
SPT(16)	2549403441712984973	0 36 48 56 86 188 200 270 284 354 366 468 498 506 518 554	-2079974736264
SPT(16)	2549405263372668179	0 8 24 30 44 48 62 84 128 150 164 168 182 188 204 212	-258315053058
STPT(10)	2549405326766322251	0 2 120 122 168 170 216 218 336 338	-194921398986
STPT(10)	2549405664432218477	0 2 12 14 42 44 72 74 84 86	142744497240
STPT(10)	2549405691741615701	0 2 36 38 78 80 120 122 156 158	170053894464
SPT(16)	2549406062144876111	0 8 78 168 198 212 258 266 282 290 336 350 380 470 540 548	540457154874
STPT(10)	2549406156609126977	0 2 30 32 42 44 54 56 84 86	634921405740
STPT(10)	2549406880244264861	0 2 6 8 18 20 30 32 36 38	1358556543624