Prime p₀= 1272241215431621597 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 4 2 22 2 58 2 4 2 40 2 (?)
a_n: 0 2 24 26 30 32 54 56 114 116 120 122 162 164
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: 164
Found by: xii5ku
db: batch=77, k=14, 22 4 22 58 4 40

SPT(16)	1272240367216880209	0 22 54 64 102 114 120 168 184 232 238 250 288 298 330 352	-848214741388
SPT(20)	1272240876217114429	0 22 42 48 54 72 82 84 124 160 162 198 238 240 250 268 274 280 300 322	-339214507168
STPT(10)	1272240881402189507	0 2 12 14 42 44 72 74 84 86	-334029432090
TPT(14)	1272240967801504931	0 2 18 20 96 98 150 152 156 158 180 182 240 242	-247630116666
SPT(16)	1272241026257941589	0 14 20 38 72 92 104 168 254 318 330 350 384 402 408 422	-189173680008
TPT(14)	1272241057243066451	0 2 30 32 60 62 78 80 90 92 168 170 228 230	-158188555146
STPT(10)	1272242852415924419	0 2 30 32 60 62 90 92 120 122	1636984302822
SPT(13)	1272242981995880357	0 12 42 60 84 144 162 180 240 264 282 312 324	1766564258760
SPT(16)	1272243163903760761	0 58 66 100 118 138 166 180 256 270 298 318 336 370 378 436	1948472139164
SPT(16)	1272243486183192463	0 40 78 90 100 124 198 208 276 286 360 384 394 406 444 484	2270751570866
STPT(10)	1272243745082001047	0 2 42 44 72 74 102 104 144 146	2529650379450