Prime p₀= 214114842290314151 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 28 2 94 2 10 2 10 2 (?)
a_n: 0 2 30 32 60 62 156 158 168 170 180 182
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: 182
Found by: vinn@[CNT]
db: batch=69, k=12, 28 28 94 10 10

SPT(14)	214114792333189009	0 22 28 72 78 82 100 120 138 142 148 192 198 220	-49957125142
SPT(14)	214114793597007187	0 16 40 42 120 124 154 162 192 196 274 276 300 316	-48693306964
SPT(14)	214114796368727887	0 42 52 66 72 96 100 162 166 190 196 210 220 262	-45921586264
TPT(12)	214114805032071077	0 2 114 116 180 182 222 224 234 236 294 296	-37258243074
SPT(14)	214114824988772987	0 32 56 96 104 122 144 152 174 192 200 240 264 296	-17301541164
TPT(12)	214114828710267629	0 2 42 44 132 134 138 140 180 182 240 242	-13580046522
SPT(14)	214114857027200671	0 6 10 12 40 70 76 132 138 168 196 198 202 208	14736886520
STPT(10)	214114868162106017	0 2 12 14 42 44 72 74 84 86	25871791866
SPT(14)	214114877346863737	0 10 54 66 76 82 166 210 294 300 310 322 366 376	35056549586
SPT(14)	214114891051078103	0 6 14 38 56 60 80 84 104 108 126 150 158 164	48760763952
SPT(14)	214114917169606183	0 30 106 120 184 198 216 268 286 300 364 378 454 484	74879292032