Prime p₀= 2786335867625838917 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 58 2 106 2 28 2 10 2 16 2 (?)
a_n: 0 2 42 44 102 104 210 212 240 242 252 254 270 272
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: 272
Found by: JayPi
db: batch=82, k=14, 40 58 106 28 10 16

SPT(16)	2786334742641145181	0 68 98 146 156 180 212 236 252 276 308 332 342 390 420 488	-1124984693736
SPT(16)	2786335187194223207	0 60 86 90 92 110 152 170 186 204 246 264 266 270 296 356	-680431615710
STPT(10)	2786335194518582867	0 2 30 32 42 44 54 56 84 86	-673107256050
SPT(16)	2786335365091877653	0 6 46 84 88 106 118 160 174 216 228 246 250 288 328 334	-502533961264
SPT(16)	2786335480541735399	0 68 110 132 138 158 188 210 242 264 294 314 320 342 384 452	-387084103518
SPT(16)	2786335528769472917	0 32 42 44 54 110 144 152 174 182 216 272 282 284 294 326	-338856366000
SPT(16)	2786335996931270209	0 30 108 114 132 142 154 202 210 258 270 280 298 304 382 412	129305431292
TPT(14)	2786336359657590539	0 2 18 20 42 44 48 50 60 62 132 134 288 290	492031751622
STPT(10)	2786336447590533977	0 2 12 14 42 44 72 74 84 86	579964695060
SPT(16)	2786336535432849491	0 30 56 78 80 96 102 108 170 176 182 198 200 222 248 278	667807010574
SPT(16)	2786336727775529359	0 22 54 70 82 124 142 144 208 210 228 270 282 298 330 352	860149690442