Prime p₀= 2313141596998161959 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 70 2 46 2 46 2 70 2 (?)
a_n: 0 2 72 74 120 122 168 170 240 242
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: 242
Found by: MarkRBright
db: batch=81, k=10, 2 70 2 46 2

TPT(14)	2313139761521505701	0 2 30 32 36 38 168 170 276 278 360 362 378 380	-1835476656258
SPT(16)	2313139807576104653	0 14 20 48 56 84 86 90 104 108 110 138 146 174 180 194	-1789422057306
STPT(10)	2313140236673794607	0 2 60 62 102 104 144 146 204 206	-1360324367352
SPT(16)	2313140258582759237	0 2 80 84 126 132 140 146 150 156 164 170 212 216 294 296	-1338415402722
SPT(16)	2313140447840552459	0 44 72 78 108 122 140 150 182 192 210 224 254 260 288 332	-1149157609500
SPT(16)	2313141542875812521	0 32 38 56 78 98 122 132 176 186 210 230 252 270 276 308	-54122349438
SPT(16)	2313141683037305327	0 26 36 62 84 114 126 224 252 350 362 392 414 440 450 476	86039143368
SPT(16)	2313142044499586359	0 10 24 34 64 78 82 94 108 120 124 138 168 178 192 202	447501424400
SPT(16)	2313142480227170791	0 28 52 82 96 112 138 148 180 190 216 232 246 276 300 328	883229008832
SPT(16)	2313142732420001863	0 16 28 30 156 238 258 286 300 328 348 430 556 558 570 586	1135421839904
STPT(10)	2313142952330714261	0 2 6 8 18 20 30 32 36 38	1355332552302