Prime p₀= 1465697676785027657 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 88 2 64 2 58 2 28 2 (?)
a_n: 0 2 12 14 24 26 114 116 180 182 240 242 270 272
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: 272
Found by: vanos0512
db: batch=78, k=14, 10 10 88 64 58 28

SPT(16)	1465696368468397753	0 6 88 94 114 120 136 150 154 168 184 190 210 216 298 304	-1308316629904
STPT(10)	1465696440162535409	0 2 48 50 90 92 132 134 180 182	-1236622492248
SPT(16)	1465696552962889321	0 42 138 148 198 240 246 268 270 292 298 340 390 400 496 538	-1123822138336
SPT(16)	1465696567270096739	0 50 54 62 74 140 144 174 188 218 222 288 300 308 312 362	-1109514930918
SPT(16)	1465696739913336781	0 60 88 96 132 148 156 196 342 382 390 406 442 450 478 538	-936871690876
STPT(10)	1465697270130254219	0 2 42 44 60 62 78 80 120 122	-406654773438
SPT(16)	1465698210210266569	0 12 70 82 120 172 180 190 192 202 210 262 300 312 370 382	533425238912
STPT(10)	1465698249749804891	0 2 6 8 18 20 30 32 36 38	572964777234
TPT(14)	1465698317852381027	0 2 114 116 132 134 162 164 174 176 204 206 240 242	641067353370
TPT(14)	1465698382641916559	0 2 42 44 48 50 78 80 90 92 162 164 168 170	705856888902
SPT(16)	1465698567492683833	0 28 30 66 88 108 144 166 168 190 226 246 268 304 306 334	890707656176