Prime p₀= 2756246994707165129 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: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 40 2 16 2

STPT(12)	2756246013769197491	0 2 36 38 48 50 78 80 90 92 126 128	-980937967638
SPT(16)	2756246142860503361	0 8 26 68 80 126 138 150 176 188 200 246 258 300 318 326	-851846661768
SPT(16)	2756246464858893203	0 30 66 74 86 110 134 138 266 270 294 318 330 338 374 404	-529848271926
STPT(10)	2756246785779933539	0 2 42 44 60 62 78 80 120 122	-208927231590
STPT(10)	2756246788559898479	0 2 18 20 30 32 42 44 60 62	-206147266650
SPT(16)	2756246875564579213	0 34 48 60 88 108 136 138 166 168 196 216 244 256 270 304	-119142585916
STPT(10)	2756247062664028691	0 2 6 8 18 20 30 32 36 38	67956863562
SPT(16)	2756247164037566321	0 50 110 128 132 162 168 182 288 302 308 338 342 360 420 470	169330401192
SPT(16)	2756247220186217041	0 12 30 78 88 96 120 126 142 148 172 180 190 238 256 268	225479051912
SPT(16)	2756247317873769977	0 32 74 104 122 180 186 206 210 230 236 294 312 342 384 416	323166604848
SPT(16)	2756247345716798771	0 38 90 116 138 158 200 216 242 258 300 320 342 368 420 458	351009633642