Prime p₀= 1814204403776858657 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 34 2 10 2 28 2 10 2 (?)
a_n: 0 2 12 14 54 56 90 92 102 104 132 134 144 146
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: 146
Found by: [AF>Libristes] Davlabedave
db: batch=79, k=14, 10 40 34 10 28 10

STPT(10)	1814203390067666327	0 2 30 32 72 74 114 116 144 146	-1013709192330
STPT(10)	1814203406468740757	0 2 30 32 42 44 54 56 84 86	-997308117900
STPT(10)	1814203438451413967	0 2 60 62 72 74 84 86 144 146	-965325444690
SPT(16)	1814203975678100933	0 50 54 78 86 114 138 150 224 236 260 288 296 320 324 374	-428098757724
STPT(10)	1814204075247621401	0 2 36 38 78 80 120 122 156 158	-328529237256
STPT(10)	1814204159261034131	0 2 90 92 108 110 126 128 216 218	-244515824526
SPT(16)	1814205144602103623	0 14 44 80 104 108 146 168 236 258 296 300 324 360 390 404	740825244966
STPT(10)	1814205575919961241	0 2 96 98 108 110 120 122 216 218	1172143102584
STPT(10)	1814206147048525427	0 2 30 32 162 164 294 296 324 326	1743271666770
SPT(16)	1814206176974813233	0 10 16 30 58 78 108 126 148 166 196 216 244 258 264 274	1773197954576
SPT(16)	1814206308969600157	0 10 22 34 66 76 94 154 162 222 240 250 282 294 306 316	1905192741500