Prime p₀= 793553241980115317 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 76 2 58 2 22 2 34 2 22 2 (?)
a_n: 0 2 42 44 120 122 180 182 204 206 240 242 264 266
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: 266
Found by: Egon olsen
db: batch=73, k=14, 40 76 58 22 34 22

SPT(16)	793549539733359991	0 22 36 66 72 96 136 142 150 156 196 220 226 256 270 292	-3702246755326
STPT(12)	793550282801196029	0 2 30 32 42 44 90 92 102 104 132 134	-2959178919288
SPT(16)	793550498277510079	0 10 30 64 72 78 84 130 162 208 214 220 228 262 282 292	-2743702605238
STPT(10)	793550501539635779	0 2 18 20 60 62 102 104 120 122	-2740440479538
TPT(14)	793551846619176569	0 2 12 14 78 80 108 110 138 140 168 170 240 242	-1395360938748
STPT(10)	793552771781007671	0 2 66 68 138 140 210 212 276 278	-470199107646
TPT(14)	793553315020828337	0 2 24 26 42 44 54 56 84 86 132 134 150 152	73040713020
STPT(10)	793553488446574967	0 2 42 44 72 74 102 104 144 146	246466459650
SPT(16)	793554534586256717	0 14 24 36 54 120 180 206 240 266 326 392 410 422 432 446	1292606141400
SPT(16)	793554634420004803	0 34 36 54 78 90 118 120 124 126 154 166 190 208 210 244	1392439889486
TPT(16)	793554809560193531	0 2 30 32 90 92 138 140 156 158 168 170 210 212 270 272	1567580078214