Prime p₀= 2396149704806736881 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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] Kalianthys
db: batch=81, k=10, 2 28 2 28 2

STPT(10)	2396147274086118611	0 2 36 38 78 80 120 122 156 158	-2430720618270
SPT(16)	2396148115282931021	0 38 56 78 102 108 150 162 206 218 260 266 290 312 330 368	-1589523805860
SPT(16)	2396148203997197053	0 4 28 66 70 78 94 106 108 120 136 144 148 186 210 214	-1500809539828
SPT(16)	2396148215140819367	0 30 56 140 186 194 210 260 306 356 372 380 426 510 536 566	-1489665917514
SPT(16)	2396149238092829111	0 72 90 120 126 128 146 156 272 282 300 302 308 338 356 428	-466713907770
STPT(10)	2396149427720572169	0 2 48 50 60 62 72 74 120 122	-277086164712
SPT(16)	2396150060517836237	0 90 180 194 236 240 266 294 296 324 350 354 396 410 500 590	355711099356
SPT(16)	2396150120923708397	0 14 20 44 80 86 120 122 174 176 210 216 252 276 282 296	416116971516
TPT(14)	2396150412217236791	0 2 18 20 48 50 96 98 156 158 198 200 336 338	707410499910
SPT(16)	2396150479337481833	0 14 24 68 116 126 158 200 204 246 278 288 336 380 390 404	774530744952
STPT(10)	2396150615787245417	0 2 60 62 72 74 84 86 144 146	910980508536