Prime p₀= 11079421330620821 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 40 2 28 2 16 2 22 2 (?)
a_n: 0 2 6 8 48 50 78 80 96 98 120 122
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: 122
Found by: Farscape
db: batch=62, k=12, 4 40 28 16 22

SPT(14)	11079402611521877	0 6 12 36 90 92 114 152 174 176 230 254 260 266	-18719098944
SPT(14)	11079406925993233	0 58 60 66 84 94 100 114 120 130 148 154 156 214	-14404627588
SPT(14)	11079417515569063	0 40 70 78 90 94 96 148 150 154 166 174 204 244	-3815051758
SPT(14)	11079418074863513	0 48 50 56 60 78 90 104 116 134 138 144 146 194	-3255757308
SPT(16)	11079419189390963	0 14 20 48 66 80 104 146 168 210 234 248 266 294 300 314	-2141229858
SPT(14)	11079419889964423	0 4 28 84 88 90 118 126 154 156 160 216 240 244	-1440656398
SPT(20)	11079429267897301	0 10 28 136 156 168 178 238 240 258 268 286 288 348 358 370 390 498 516 526	7937276480
SPT(14)	11079434683582129	0 18 54 60 88 100 144 238 282 294 322 328 364 382	13352961308
SPT(14)	11079449853576103	0 4 6 30 58 60 76 108 124 126 154 178 180 184	28522955282
SPT(14)	11079455415925271	0 36 56 60 96 110 156 182 228 242 278 282 302 338	34085304450
SPT(14)	11079468874288831	0 18 48 52 60 70 112 126 168 178 186 190 220 238	47543668010