Prime p₀= 202880767953981119 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 88 2 28 2 88 2 16 2 58 2 (?)
a_n: 0 2 90 92 120 122 210 212 228 230 288 290
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 290
Found by: Megacruncher
db: batch=69, k=12, 88 28 88 16 58

TPT(12)	202880731382868431	0 2 6 8 48 50 90 92 198 200 228 230	-36571112688
SPT(14)	202880737492906307	0 30 92 116 132 146 162 170 186 200 216 240 302 332	-30461074812
SPT(16)	202880749561862621	0 8 42 56 68 116 126 132 146 152 162 210 222 236 270 278	-18392118498
SPT(14)	202880756695800199	0 22 34 90 100 112 118 144 150 162 172 228 240 262	-11258180920
SPT(14)	202880762956009729	0 30 34 52 64 70 132 142 204 210 222 240 244 274	-4997971390
SPT(14)	202880763805100611	0 18 46 70 96 126 130 138 142 172 198 222 250 268	-4148880508
SPT(14)	202880806668868219	0 28 34 40 78 82 114 118 150 154 192 198 204 232	38714887100
SPT(14)	202880827832160953	0 14 18 24 30 56 98 126 168 194 200 206 210 224	59878179834
SPT(14)	202880860077621667	0 12 30 96 106 120 184 222 286 300 310 376 394 406	92123640548
SPT(14)	202880885993146531	0 48 76 78 88 118 130 186 198 228 238 240 268 316	118039165412
SPT(14)	202880889289744847	0 2 24 30 42 96 110 186 200 254 266 272 294 296	121335763728