Prime p₀= 2098532072173844651 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 40 2 4 2 52 2 28 2 64 2 (?)
a_n: 0 2 78 80 120 122 126 128 180 182 210 212 276 278
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: 278
Found by: Dingo
db: batch=80, k=14, 76 40 4 52 28 64

SPT(16)	2098529920309504967	0 24 36 84 90 104 116 126 140 150 162 176 182 230 242 266	-2151864339684
SPT(16)	2098529960412850819	0 10 24 60 64 70 108 112 180 184 222 228 232 268 282 292	-2111760993832
STPT(10)	2098530145652533469	0 2 30 32 60 62 90 92 120 122	-1926521311182
SPT(16)	2098530444574322861	0 42 60 86 102 216 222 230 252 260 266 380 396 422 440 482	-1627599521790
STPT(10)	2098531090618370501	0 2 30 32 60 62 90 92 120 122	-981555474150
TPT(14)	2098531462789647467	0 2 150 152 162 164 240 242 294 296 324 326 390 392	-609384197184
TPT(14)	2098532483051432717	0 2 42 44 84 86 144 146 174 176 240 242 252 254	410877588066
SPT(16)	2098532554429954187	0 12 24 30 32 42 90 140 156 206 254 264 266 272 284 296	482256109536
STPT(10)	2098532677166057159	0 2 18 20 30 32 42 44 60 62	604992212508
TPT(16)	2098532730925660151	0 2 48 50 78 80 150 152 210 212 246 248 300 302 348 350	658751815500
SPT(16)	2098532734161922787	0 14 32 56 60 86 92 102 134 144 150 176 180 204 222 236	661988078136