Prime p₀= 1199652781814178959 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 100 2 16 2 10 2 40 2 28 2 (?)
a_n: 0 2 78 80 180 182 198 200 210 212 252 254 282 284
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: 284
Found by: emoga
db: batch=77, k=14, 76 100 16 10 40 28

SPT(16)	1199651665283254619	0 18 20 30 42 74 98 122 150 174 198 230 242 252 254 272	-1116530924340
SPT(16)	1199651750663398211	0 2 12 72 128 152 168 182 186 200 216 240 296 356 366 368	-1031150780748
SPT(16)	1199651796935343239	0 12 14 42 104 152 224 278 384 438 510 558 620 648 650 662	-984878835720
STPT(10)	1199651870580177767	0 2 30 32 42 44 54 56 84 86	-911234001192
STPT(10)	1199651950410433367	0 2 12 14 42 44 72 74 84 86	-831403745592
SPT(16)	1199652677307989503	0 30 34 48 54 70 88 120 124 156 174 190 196 210 214 244	-104506189456
SPT(16)	1199652857108496503	0 30 66 138 140 188 198 216 230 248 258 306 308 380 416 446	75294317544
TPT(14)	1199653352972802881	0 2 96 98 138 140 150 152 156 158 168 170 240 242	571158623922
SPT(16)	1199653682992447147	0 12 66 70 72 82 132 142 150 160 210 220 222 226 280 292	901178268188
SPT(16)	1199653699659168419	0 8 30 42 84 98 128 150 212 234 264 278 320 332 354 362	917844989460
STPT(10)	1199653762232282639	0 2 18 20 60 62 102 104 120 122	980418103680