Prime p₀= 159857352035385311 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 4 2 40 2 16 2 208 2 (?)
a_n: 0 2 60 62 66 68 108 110 126 128 336 338
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: 338
Found by: emoga
db: batch=67, k=12, 58 4 40 16 208

SPT(14)	159857212915273717	0 34 42 60 82 100 120 166 186 204 226 244 252 286	-139120111594
TPT(12)	159857236441145039	0 2 168 170 192 194 198 200 210 212 240 242	-115594240272
SPT(14)	159857245186208071	0 12 60 66 82 88 106 192 210 216 232 238 286 298	-106849177240
SPT(14)	159857255037262663	0 6 34 60 70 84 88 156 160 174 184 210 238 244	-96998122648
TPT(12)	159857302586270657	0 2 30 32 60 62 132 134 144 146 174 176	-49449114654
SPT(14)	159857316398528513	0 24 48 50 56 66 74 90 98 108 114 116 140 164	-35636856798
SPT(14)	159857354523369623	0 50 96 116 156 164 168 236 240 248 288 308 354 404	2487984312
TPT(12)	159857384613843911	0 2 66 68 78 80 120 122 156 158 168 170	32578458600
STPT(10)	159857387686140797	0 2 42 44 72 74 102 104 144 146	35650755486
TPT(12)	159857390106694277	0 2 54 56 72 74 84 86 90 92 114 116	38071308966
SPT(14)	159857392191207793	0 18 40 60 78 88 90 118 120 130 148 168 190 208	40155822482