Prime p₀= 39948037785464087 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 52 2 46 2 76 2 40 2 10 2 (?)
a_n: 0 2 54 56 102 104 180 182 222 224 234 236
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: 236
Found by: Cruncher Pete
db: batch=65, k=12, 52 46 76 40 10

SPT(14)	39947986078437691	0 28 30 52 60 88 102 118 132 160 168 190 192 220	-51707026396
SPT(14)	39948002557497467	0 12 20 32 54 122 132 164 174 242 264 276 284 296	-35227966620
TPT(12)	39948005611373969	0 2 30 32 42 44 168 170 180 182 300 302	-32174090118
SPT(14)	39948022606997501	0 12 42 86 126 128 132 146 150 152 192 236 266 278	-15178466586
TPT(12)	39948027591131921	0 2 18 20 30 32 48 50 60 62 126 128	-10194332166
SPT(14)	39948034254594071	0 50 116 126 128 162 218 390 446 480 482 492 558 608	-3530870016
SPT(16)	39948049665504919	0 12 24 108 124 144 154 220 222 288 298 318 334 418 430 442	11880040832
SPT(14)	39948069484061237	0 2 32 36 42 56 72 104 120 134 140 144 174 176	31698597150
SPT(14)	39948097722163247	0 50 60 74 84 92 140 144 192 200 210 224 234 284	59936699160
SPT(14)	39948119503048963	0 48 66 94 100 126 136 138 148 174 180 208 226 274	81717584876
SPT(14)	39948120158600083	0 6 40 58 70 78 96 100 118 126 138 156 190 196	82373135996