Prime p₀= 2669835359237484287 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 34 2 28 2 52 2 46 2 (?)
a_n: 0 2 24 26 54 56 90 92 120 122 174 176 222 224
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: 224
Found by: Asgard2022
db: batch=82, k=14, 22 28 34 28 52 46

SPT(16)	2669833922851126709	0 14 30 44 98 104 140 168 170 198 234 240 294 308 324 338	-1436386357578
STPT(10)	2669834312808482621	0 2 6 8 48 50 90 92 96 98	-1046429001666
SPT(16)	2669834623829759203	0 10 16 30 100 108 126 178 198 250 268 276 346 360 366 376	-735407725084
SPT(16)	2669834881858705321	0 10 12 18 48 82 120 148 150 178 216 250 280 286 288 298	-477378778966
SPT(16)	2669835177235176329	0 2 8 38 42 54 60 74 78 92 98 110 114 144 150 152	-182002307958
TPT(14)	2669835194887527089	0 2 150 152 210 212 222 224 258 260 330 332 360 362	-164349957198
STPT(10)	2669835389428492781	0 2 66 68 138 140 210 212 276 278	30191008494
SPT(16)	2669835520647602119	0 4 22 40 42 82 114 172 180 238 270 310 312 330 348 352	161410117832
SPT(16)	2669835647302245497	0 12 32 60 62 102 110 116 126 132 140 180 182 210 230 242	288064761210
SPT(16)	2669835928396556419	0 24 48 52 58 90 100 142 210 252 262 294 300 304 328 352	569159072132
STPT(10)	2669836041666694907	0 2 30 32 42 44 54 56 84 86	682429210620