Prime p₀= 3001784829219154721 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 10 2 118 2 34 2 10 2 28 2 (?)
a_n: 0 2 108 110 120 122 240 242 276 278 288 290 318 320
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: 320
Found by: [SG-FC] hl
db: batch=82, k=14, 106 10 118 34 10 28

SPT(16)	3001783855351832477	0 14 26 62 110 170 210 236 240 266 306 366 414 450 462 476	-973867322244
SPT(16)	3001783897615796497	0 10 22 66 94 100 114 136 240 262 276 282 310 354 366 376	-931603358224
SPT(16)	3001784075545285769	0 14 78 84 114 120 138 140 168 170 188 194 224 230 294 308	-753673868952
SPT(16)	3001784094883423697	0 2 60 80 150 170 182 200 204 222 234 254 324 344 402 404	-734335731024
SPT(16)	3001784139426892783	0 66 130 150 160 168 204 210 214 220 256 264 274 294 358 424	-689792261938
SPT(16)	3001784558293366147	0 12 64 66 82 96 112 126 220 234 250 264 280 282 334 346	-270925788574
SPT(16)	3001784974941426169	0 18 52 58 90 108 150 168 184 202 244 262 294 300 334 352	145722271448
SPT(16)	3001785371646472591	0 6 22 42 60 76 180 292 300 412 516 532 550 570 586 592	542427317870
STPT(10)	3001785417317766881	0 2 6 8 48 50 90 92 96 98	588098612160
STPT(10)	3001786091063584841	0 2 30 32 78 80 126 128 156 158	1261844430120
SPT(16)	3001786110061790323	0 4 18 28 30 34 76 88 96 108 150 154 156 166 180 184	1280842635602