Prime p₀= 2733131679754391297 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 16 2 106 2 100 2 28 2 10 2 (?)
a_n: 0 2 54 56 72 74 180 182 282 284 312 314 324 326
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: 326
Found by: JayPi
db: batch=82, k=14, 52 16 106 100 28 10

SPT(16)	2733129876428507921	0 2 18 68 120 138 170 180 200 210 242 260 312 362 378 380	-1803325883376
SPT(13)	2733129993399204031	0 6 36 90 120 138 168 198 216 246 300 330 336	-1686355187266
STPT(10)	2733130169327187557	0 2 30 32 72 74 114 116 144 146	-1510427203740
SPT(16)	2733130700249808403	0 54 58 76 138 160 168 184 240 256 264 286 348 366 370 424	-979504582894
SPT(16)	2733130845028586621	0 6 42 48 86 90 98 110 198 210 218 222 260 266 302 308	-834725804676
STPT(10)	2733130905519143807	0 2 60 62 72 74 84 86 144 146	-774235247490
SPT(16)	2733131826974872129	0 30 52 72 78 108 112 160 192 240 244 274 280 300 322 352	147220480832
SPT(16)	2733131877366508193	0 8 14 30 36 50 116 140 144 168 234 248 254 270 276 284	197612116896
SPT(16)	2733131954506181939	0 8 14 18 68 102 120 144 218 242 260 294 344 348 354 362	274751790642
SPT(16)	2733132188651350627	0 10 16 22 42 52 82 120 226 264 294 304 324 330 336 346	508896959330
STPT(10)	2733132319972303199	0 2 18 20 30 32 42 44 60 62	640217911902