Prime p₀= 1022207652650679641 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 58 2 22 2 28 2 244 2 28 2 (?)
a_n: 0 2 126 128 186 188 210 212 240 242 486 488 516 518
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: 518
Found by: stoneageman
db: batch=76, k=14, 124 58 22 28 244 28

STPT(10)	1022206249157888999	0 2 78 80 120 122 162 164 240 242	-1403492790642
SPT(16)	1022206302735776611	0 22 46 52 90 126 136 138 160 162 172 208 246 252 276 298	-1349914903030
STPT(10)	1022206496443665497	0 2 30 32 42 44 54 56 84 86	-1156207014144
STPT(10)	1022206701327196067	0 2 42 44 72 74 102 104 144 146	-951323483574
STPT(10)	1022206704888976349	0 2 78 80 120 122 162 164 240 242	-947761703292
SPT(16)	1022207127283498609	0 18 22 48 52 118 124 144 238 258 264 330 334 360 364 382	-525367181032
STPT(10)	1022207817054218621	0 2 30 32 78 80 126 128 156 158	164403538980
STPT(10)	1022207869903045739	0 2 42 44 90 92 138 140 180 182	217252366098
SPT(16)	1022207962609082813	0 18 44 84 90 144 168 170 174 176 200 254 260 300 326 344	309958403172
SPT(16)	1022208092472367891	0 6 30 48 58 76 100 126 160 186 210 228 238 256 280 286	439821688250
STPT(10)	1022208198072446771	0 2 156 158 168 170 180 182 336 338	545421767130