Prime p₀= 1167168141229299659 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 16 2 10 2 64 2 58 2 (?)
a_n: 0 2 30 32 72 74 90 92 102 104 168 170 228 230
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: 230
Found by: Theadalus
db: batch=77, k=14, 28 40 16 10 64 58

SPT(16)	1167167415818326907	0 26 32 36 66 74 80 84 92 96 102 110 140 144 150 176	-725410972752
SPT(16)	1167167435441568191	0 56 80 98 116 126 138 140 168 170 182 192 210 228 252 308	-705787731468
SPT(16)	1167167532477555481	0 36 42 52 96 120 130 138 160 168 178 202 246 256 262 298	-608751744178
SPT(16)	1167167782063947491	0 38 48 50 72 78 98 116 132 150 170 176 198 200 210 248	-359165352168
TPT(14)	1167167912636302271	0 2 30 32 78 80 90 92 120 122 126 128 210 212	-228592997388
STPT(10)	1167167926321361537	0 2 42 44 72 74 102 104 144 146	-214907938122
STPT(10)	1167168642733754069	0 2 12 14 90 92 168 170 180 182	501504454410
SPT(16)	1167169249079097181	0 22 30 42 66 88 100 106 192 198 210 232 256 268 276 298	1107849797522
STPT(10)	1167169396911991337	0 2 42 44 72 74 102 104 144 146	1255682691678
STPT(10)	1167169777471525181	0 2 6 8 48 50 90 92 96 98	1636242225522
STPT(10)	1167169902651257807	0 2 30 32 42 44 54 56 84 86	1761421958148