Prime p₀= 3235394483384111309 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: gemini8
db: batch=83, k=10, 2 46 2 10 2

SPT(16)	3235393642531708793	0 18 66 126 134 168 174 188 246 260 266 300 308 368 416 434	-840852402516
STPT(10)	3235393929317422391	0 2 30 32 78 80 126 128 156 158	-554066688918
SPT(16)	3235394365661731103	0 96 120 140 158 176 186 188 306 308 318 336 354 374 398 494	-117722380206
STPT(10)	3235394411035843781	0 2 6 8 48 50 90 92 96 98	-72348267528
SPT(16)	3235394447255004773	0 56 78 120 134 186 204 228 296 320 338 390 404 446 468 524	-36129106536
STPT(12)	3235394453480081909	0 2 18 20 132 134 168 170 282 284 300 302	-29904029400
SPT(16)	3235394689546223689	0 84 90 118 154 162 184 198 244 258 280 288 324 352 358 442	206162112380
SPT(16)	3235395037904032501	0 28 42 60 70 72 108 112 306 310 346 348 358 376 390 418	554519921192
TPT(14)	3235395086736025901	0 2 18 20 48 50 78 80 156 158 186 188 216 218	603351914592
STPT(12)	3235395086736025919	0 2 30 32 60 62 138 140 168 170 198 200	603351914610
SPT(16)	3235395109205505097	0 4 70 76 120 124 132 154 222 244 252 256 300 306 372 376	625821393788