Prime p₀= 1304069188214247779 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-2W]Kurzer
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1304068302853927067	0 14 30 36 74 86 162 176 210 224 300 312 350 356 372 386	-885360320712
SPT(16)	1304068519781718863	0 8 30 50 78 110 126 144 170 188 204 236 264 284 306 314	-668432528916
SPT(16)	1304068635225678481	0 40 76 96 102 108 126 148 150 172 190 196 202 222 258 298	-552988569298
SPT(16)	1304068709188955189	0 2 18 32 72 104 120 132 140 152 168 200 240 254 270 272	-479025292590
STPT(10)	1304068889074648061	0 2 30 32 78 80 126 128 156 158	-299139599718
SPT(16)	1304068961409819497	0 2 32 60 104 110 126 144 182 200 216 222 266 294 324 326	-226804428282
SPT(16)	1304069460500978651	0 32 36 56 102 138 146 156 242 252 260 296 342 362 366 398	272286730872
SPT(16)	1304069612453451527	0 6 32 54 66 90 132 140 186 194 236 260 272 294 320 326	424239203748
TPT(14)	1304069614700699309	0 2 12 14 192 194 222 224 240 242 348 350 390 392	426486451530
STPT(10)	1304070172980555317	0 2 30 32 42 44 54 56 84 86	984766307538
STPT(10)	1304070445990036577	0 2 30 32 72 74 114 116 144 146	1257775788798