Prime p₀= 2644973971256601641 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 28 2 28 2 10 2 10 2 4 2 (?)
a_n: 0 2 66 68 96 98 126 128 138 140 150 152 156 158
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: 158
Found by: RFGuy_KCCO
db: batch=82, k=14, 64 28 28 10 10 4

SPT(16)	2644972443332400869	0 2 24 42 74 80 84 114 128 158 162 168 200 218 240 242	-1527924200772
TPT(14)	2644972840020226151	0 2 36 38 78 80 198 200 228 230 456 458 468 470	-1131236375490
SPT(16)	2644972856908476569	0 30 54 72 102 128 150 192 200 242 264 290 320 338 362 392	-1114348125072
STPT(10)	2644973242596399899	0 2 18 20 30 32 42 44 60 62	-728660201742
TPT(14)	2644973288099403587	0 2 60 62 102 104 174 176 210 212 264 266 282 284	-683157198054
STPT(10)	2644973570744757599	0 2 42 44 90 92 138 140 180 182	-400511844042
SPT(16)	2644974130522999711	0 30 46 90 100 106 120 148 168 196 210 216 226 270 286 316	159266398070
STPT(10)	2644974334503735329	0 2 18 20 30 32 42 44 60 62	363247133688
SPT(16)	2644974434694510329	0 8 12 50 102 168 182 188 222 228 242 308 360 398 402 410	463437908688
SPT(16)	2644974611269709239	0 10 22 42 48 70 112 114 118 120 162 184 190 210 222 232	640013107598
SPT(18)	2644974611795642117	0 24 32 56 62 120 144 146 162 314 330 332 356 414 420 444 452 476	640539040476