Prime p₀= 1294100549013855179 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 76 2 46 2 190 2 46 2 52 2 (?)
a_n: 0 2 132 134 210 212 258 260 450 452 498 500 552 554
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: 554
Found by: Cruncher Pete
db: batch=77, k=14, 130 76 46 190 46 52

SPT(16)	1294099012352774779	0 12 28 42 60 78 88 130 162 204 214 232 250 264 280 292	-1536661080400
SPT(16)	1294099297966166171	0 8 18 20 30 32 86 90 128 132 186 188 198 200 210 218	-1251047689008
SPT(16)	1294099496383887223	0 6 24 30 34 46 64 120 184 240 258 270 274 280 298 304	-1052629967956
SPT(16)	1294099675049198617	0 10 42 90 112 136 186 190 216 220 270 294 316 364 396 406	-873964656562
SPT(16)	1294100282369141333	0 36 60 66 98 114 144 158 216 230 260 276 308 314 338 374	-266644713846
SPT(16)	1294100483038806151	0 10 36 46 78 106 126 148 150 172 192 220 252 262 288 298	-65975049028
STPT(10)	1294100639080026959	0 2 18 20 30 32 42 44 60 62	90066171780
STPT(10)	1294101043027331807	0 2 30 32 72 74 114 116 144 146	494013476628
STPT(10)	1294101783345749969	0 2 48 50 90 92 132 134 180 182	1234331894790
STPT(12)	1294101797146078157	0 2 12 14 72 74 150 152 210 212 222 224	1248132222978
STPT(10)	1294101823401970337	0 2 30 32 42 44 54 56 84 86	1274388115158