Prime p₀= 159856065787504181 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 34 2 40 2 58 2 16 2 (?)
a_n: 0 2 60 62 96 98 138 140 198 200 216 218
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: 218
Found by: emoga
db: batch=67, k=12, 58 34 40 58 16

SPT(14)	159856011526731791	0 50 78 90 102 126 138 140 152 176 188 200 228 278	-54260772390
TPT(12)	159856019879992439	0 2 120 122 150 152 168 170 222 224 252 254	-45907511742
SPT(14)	159856027911903991	0 10 66 78 96 136 178 180 222 262 280 292 348 358	-37875600190
SPT(14)	159856038464578681	0 10 18 42 66 78 96 112 130 142 166 190 198 208	-27322925500
SPT(14)	159856038631144327	0 6 36 54 76 82 90 106 114 120 142 160 190 196	-27156359854
TPT(12)	159856051180243259	0 2 78 80 240 242 312 314 342 344 372 374	-14607260922
SPT(14)	159856066408709389	0 10 34 42 52 112 130 234 252 312 322 330 354 364	621205208
SPT(14)	159856078524336211	0 10 12 42 52 90 96 136 142 180 190 220 222 232	12736832030
TPT(12)	159856109929486307	0 2 30 32 42 44 72 74 84 86 162 164	44141982126
SPT(14)	159856123145272709	0 8 24 42 80 84 114 128 158 162 200 218 234 242	57357768528
SPT(14)	159856142594296591	0 10 78 108 112 120 192 196 268 276 280 310 378 388	76806792410