Prime p₀= 994500685412531441 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 106 2 70 2 10 2 28 2 16 2 (?)
a_n: 0 2 18 20 126 128 198 200 210 212 240 242 258 260
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: 260
Found by: MarkRBright
db: batch=76, k=14, 16 106 70 10 28 16

SPT(16)	994499946970383863	0 6 14 20 116 126 144 174 176 206 224 234 330 336 344 350	-738442147578
STPT(10)	994500008082145307	0 2 30 32 42 44 54 56 84 86	-677330386134
TPT(14)	994500397676470931	0 2 30 32 96 98 108 110 138 140 198 200 240 242	-287736060510
TPT(14)	994500437328064241	0 2 66 68 78 80 120 122 150 152 156 158 210 212	-248084467200
SPT(16)	994500528517804453	0 6 18 120 124 136 148 168 256 276 288 300 304 406 418 424	-156894726988
STPT(10)	994500560022739541	0 2 30 32 78 80 126 128 156 158	-125389791900
SPT(16)	994500928943712763	0 88 108 114 124 156 180 184 210 214 238 270 280 286 306 394	243531181322
STPT(10)	994501018051683587	0 2 30 32 42 44 54 56 84 86	332639152146
STPT(10)	994501099983301247	0 2 30 32 42 44 54 56 84 86	414570769806
STPT(10)	994502084093215067	0 2 30 32 42 44 54 56 84 86	1398680683626
SPT(16)	994502298585533147	0 20 36 50 90 102 156 182 204 230 284 296 336 350 366 386	1613173001706