Prime p₀= 2874500306847252311 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 76 2 118 2 46 2 40 2 (?)
a_n: 0 2 18 20 60 62 138 140 258 260 306 308 348 350
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: 350
Found by: [SG-FC] hl
db: batch=82, k=14, 16 40 76 118 46 40

STPT(10)	2874498453600633227	0 2 30 32 42 44 54 56 84 86	-1853246619084
SPT(16)	2874498586442909357	0 26 86 120 140 150 192 194 222 224 266 276 296 330 390 416	-1720404342954
SPT(16)	2874498968927404657	0 12 72 76 90 126 142 186 280 324 340 376 390 394 454 466	-1337919847654
SPT(16)	2874499230686476961	0 8 50 68 78 80 102 128 150 176 198 200 210 228 270 278	-1076160775350
SPT(16)	2874499512920659033	0 34 40 48 70 78 106 114 130 138 166 174 196 204 210 244	-793926593278
STPT(10)	2874499800992076611	0 2 6 8 48 50 90 92 96 98	-505855175700
STPT(10)	2874500560576558349	0 2 42 44 60 62 78 80 120 122	253729306038
TPT(14)	2874500588510347451	0 2 18 20 30 32 48 50 90 92 96 98 156 158	281663095140
SPT(16)	2874501095989466861	0 12 32 66 98 110 156 168 320 332 378 390 422 456 476 488	789142214550
TPT(14)	2874501506157732419	0 2 12 14 48 50 90 92 180 182 192 194 210 212	1199310480108
SPT(16)	2874501605905330549	0 10 18 24 42 58 70 84 88 102 114 130 148 154 162 172	1299058078238