Prime p₀= 2898728380520686451 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 28 2 70 2 28 2 40 2 28 2 (?)
a_n: 0 2 6 8 36 38 108 110 138 140 180 182 210 212
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: 212
Found by: [SG-FC] hl
db: batch=82, k=14, 4 28 70 28 40 28

SPT(16)	2898727643787801487	0 34 54 76 90 180 184 210 256 282 286 376 390 412 432 466	-736732884964
SPT(16)	2898727758618644933	0 14 44 56 110 114 138 158 246 266 290 294 348 360 390 404	-621902041518
STPT(10)	2898728005604544941	0 2 36 38 78 80 120 122 156 158	-374916141510
SPT(16)	2898728180140759913	0 14 20 36 56 60 86 114 146 174 200 204 224 240 246 260	-200379926538
SPT(13)	2898728237850101747	0 24 30 60 72 114 192 270 312 324 354 360 384	-142670584704
SPT(16)	2898728341063228307	0 104 126 174 176 240 254 260 300 306 320 384 386 434 456 560	-39457458144
SPT(16)	2898728459046431743	0 6 30 46 118 154 156 184 240 268 270 306 378 394 418 424	78525745292
SPT(16)	2898728671292982431	0 8 78 122 138 180 192 228 242 278 290 332 348 392 462 470	290772295980
SPT(16)	2898729095961187757	0 24 72 90 120 126 134 140 156 162 170 176 206 224 272 296	715440501306
SPT(16)	2898730115718603367	0 4 24 34 54 66 84 94 126 136 154 166 186 196 216 220	1735197916916
SPT(18)	2898730334845016921	0 6 20 90 96 98 110 120 138 170 188 198 210 212 218 288 302 308	1954324330470