Prime p₀= 401159503538510441 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 16 2 46 2 118 2 52 2 (?)
a_n: 0 2 30 32 48 50 96 98 216 218 270 272
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: 272
Found by: Cruncher Pete
db: batch=70, k=12, 28 16 46 118 52

SPT(14)	401159442744536837	0 6 56 72 140 144 170 186 212 216 284 300 350 356	-60793973604
SPT(14)	401159456699972401	0 6 16 28 48 58 70 78 90 100 120 132 142 148	-46838538040
SPT(14)	401159463821896657	0 12 52 70 82 120 132 154 166 204 216 234 274 286	-39716613784
SPT(14)	401159468988488671	0 6 18 40 48 82 88 90 96 130 138 160 172 178	-34550021770
TPT(12)	401159472598523447	0 2 42 44 54 56 72 74 84 86 144 146	-30939986994
SPT(14)	401159475034438147	0 16 42 76 84 100 102 154 156 172 180 214 240 256	-28504072294
SPT(14)	401159518087878401	0 8 20 42 60 68 98 102 132 140 158 180 192 200	14549367960
SPT(14)	401159542166248193	0 14 44 60 66 96 108 116 128 158 164 180 210 224	38627737752
SPT(14)	401159542518979331	0 26 48 120 138 168 192 206 230 260 278 350 372 398	38980468890
TPT(12)	401159554966307897	0 2 12 14 42 44 60 62 90 92 144 146	51427797456
SPT(14)	401159556283663063	0 40 64 90 118 124 150 178 204 210 238 264 288 328	52745152622