Prime p₀= 1115113720034168081 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 106 2 28 2 28 2 106 2 (?)
a_n: 0 2 108 110 138 140 168 170 276 278
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: 278
Found by: Theadalus
db: batch=76, k=10, 2 106 2 28 2

TPT(14)	1115113098470818019	0 2 60 62 72 74 138 140 198 200 222 224 312 314	-621563350062
STPT(10)	1115113170054648431	0 2 6 8 18 20 30 32 36 38	-549979519650
SPT(16)	1115113341310821239	0 8 44 50 78 84 102 140 192 230 248 254 282 288 324 332	-378723346842
SPT(16)	1115113412131358383	0 6 34 76 94 100 106 150 160 204 210 216 234 276 304 310	-307902809698
TPT(14)	1115113504172256857	0 2 72 74 102 104 162 164 240 242 270 272 300 302	-215861911224
TPT(14)	1115113579366281401	0 2 18 20 156 158 168 170 228 230 240 242 258 260	-140667886680
TPT(14)	1115113758002545751	0 2 30 32 60 62 168 170 216 218 228 230 258 260	37968377670
SPT(16)	1115114012755355687	0 42 44 54 84 86 96 132 194 230 240 242 272 282 284 326	292721187606
SPT(16)	1115114095910654953	0 24 36 70 88 100 190 198 226 234 324 336 354 388 400 424	375876486872
SPT(18)	1115114099577253883	0 56 78 156 200 216 230 248 254 330 336 354 368 384 428 506 528 584	379543085802
SPT(16)	1115114202277242071	0 6 32 38 50 62 98 116 132 150 186 198 210 216 242 248	482243073990