Prime p₀= 2194097205776901641 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 70 2 10 2 58 2 28 2 (?)
a_n: 0 2 30 32 66 68 138 140 150 152 210 212 240 242
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: 242
Found by: ginga
db: batch=81, k=14, 28 34 70 10 58 28

SPT(16)	2194094045350869349	0 10 34 52 64 114 130 142 162 174 190 240 252 270 294 304	-3160426032292
STPT(10)	2194094508538509011	0 2 30 32 120 122 210 212 240 242	-2697238392630
STPT(10)	2194094933006660741	0 2 30 32 78 80 126 128 156 158	-2272770240900
SPT(16)	2194095598794861947	0 12 14 30 72 80 152 182 234 264 336 344 386 402 404 416	-1606982039694
SPT(16)	2194096685649567973	0 30 60 70 94 108 150 156 178 184 226 240 264 274 304 334	-520127333668
STPT(10)	2194096711778294537	0 2 30 32 42 44 54 56 84 86	-493998607104
STPT(10)	2194097377439291897	0 2 42 44 72 74 102 104 144 146	171662390256
STPT(10)	2194097874358934837	0 2 42 44 72 74 102 104 144 146	668582033196
SPT(16)	2194098014821685171	0 26 56 62 80 90 122 240 248 366 398 408 426 432 462 488	809044783530
SPT(16)	2194098215855187371	0 8 20 30 80 90 116 122 126 132 158 168 218 228 240 248	1010078285730
STPT(10)	2194098473012165141	0 2 36 38 168 170 300 302 336 338	1267235263500