Prime p₀= 11551643216340809 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 40 2 64 2 22 2 28 2 (?)
a_n: 0 2 30 32 72 74 138 140 162 164 192 194
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: 194
Found by: crashtech
db: batch=62, k=12, 28 40 64 22 28

SPT(14)	11551596560212531	0 60 96 118 132 142 160 168 186 196 210 232 268 328	-46656128278
SPT(14)	11551619708533799	0 14 30 48 74 90 98 114 122 138 164 182 198 212	-23507807010
TPT(12)	11551627322925377	0 2 30 32 42 44 84 86 114 116 132 134	-15893415432
TPT(12)	11551633137166229	0 2 18 20 30 32 48 50 90 92 120 122	-10079174580
SPT(14)	11551635276817849	0 30 48 64 78 118 142 180 204 244 258 274 292 322	-7939522960
SPT(14)	11551637953059199	0 10 42 48 52 78 108 112 142 168 172 178 210 220	-5263281610
SPT(14)	11551644422508469	0 12 24 30 42 52 54 58 60 70 82 88 100 112	1206167660
TPT(12)	11551647531611489	0 2 12 14 78 80 108 110 168 170 198 200	4315270680
SPT(14)	11551651589607587	0 2 6 50 54 66 80 96 110 122 126 170 174 176	8373266778
TPT(12)	11551676527940387	0 2 54 56 102 104 114 116 150 152 192 194	33311599578
SPT(14)	11551687295215129	0 12 30 82 118 132 150 160 178 192 228 280 298 310	44078874320