Prime p₀= 788206171532082131 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 28 2 70 2 58 2 10 2 28 2 (?)
a_n: 0 2 6 8 36 38 108 110 168 170 180 182 210 212
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 212
Found by: [SG]FX
db: batch=73, k=14, 4 28 70 58 10 28

STPT(10)	788204781627849317	0 2 30 32 42 44 54 56 84 86	-1389904232814
STPT(10)	788205369980930579	0 2 18 20 30 32 42 44 60 62	-801551151552
SPT(16)	788205658410949817	0 12 20 44 80 86 90 96 140 146 150 156 192 216 224 236	-513121132314
STPT(10)	788205747081687227	0 2 42 44 72 74 102 104 144 146	-424450394904
SPT(16)	788206071366312437	0 56 90 104 126 132 150 186 320 356 374 380 402 416 450 506	-100165769694
STPT(10)	788206143349284587	0 2 30 32 72 74 114 116 144 146	-28182797544
STPT(12)	788206505138216597	0 2 30 32 42 44 102 104 114 116 144 146	333606134466
STPT(10)	788206962634259417	0 2 12 14 42 44 72 74 84 86	791102177286
STPT(12)	788207110749493427	0 2 12 14 42 44 150 152 180 182 192 194	939217411296
SPT(16)	788207114145829373	0 6 8 66 78 98 128 140 156 168 198 218 230 288 290 296	942613747242
SPT(16)	788207217345678269	0 42 54 60 72 74 102 110 132 140 168 170 182 188 200 242	1045813596138