Prime p₀= 1986013660812640859 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 34 2 28 2 22 2 4 2 10 2 (?)
a_n: 0 2 72 74 108 110 138 140 162 164 168 170 180 182
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: 182
Found by: Landjunge
db: batch=80, k=14, 70 34 28 22 4 10

SPT(16)	1986012899898289891	0 18 40 72 90 100 126 132 166 172 198 208 226 258 280 298	-760914350968
TPT(16)	1986012908553801467	0 2 30 32 114 116 132 134 174 176 264 266 294 296 300 302	-752258839392
TPT(14)	1986012990585843719	0 2 78 80 90 92 132 134 168 170 210 212 360 362	-670226797140
STPT(10)	1986013133001598817	0 2 30 32 42 44 54 56 84 86	-527811042042
SPT(16)	1986013391245373981	0 66 80 96 98 126 140 152 156 168 182 210 212 228 242 308	-269567266878
STPT(10)	1986013480204017359	0 2 18 20 30 32 42 44 60 62	-180608623500
STPT(10)	1986013757933618261	0 2 30 32 60 62 90 92 120 122	97120977402
STPT(10)	1986013989373248407	0 2 42 44 72 74 102 104 144 146	328560607548
SPT(16)	1986014116300900489	0 4 52 88 118 172 192 198 214 220 240 294 324 360 408 412	455488259630
TPT(14)	1986014279451793949	0 2 72 74 150 152 180 182 222 224 282 284 360 362	618639153090
STPT(10)	1986014290582070891	0 2 6 8 18 20 30 32 36 38	629769430032