Prime p₀= 813848920411314971 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 10 2 28 2 40 2 88 2 34 2 (?)
a_n: 0 2 66 68 78 80 108 110 150 152 240 242 276 278
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: 278
Found by: [SG-FC] hl
db: batch=73, k=14, 64 10 28 40 88 34

SPT(16)	813848388577811963	0 24 48 56 80 84 120 150 164 194 230 234 258 266 290 314	-531833503008
STPT(10)	813848407097422127	0 2 54 56 72 74 90 92 144 146	-513313892844
STPT(10)	813848471813066267	0 2 30 32 42 44 54 56 84 86	-448598248704
STPT(10)	813848586875896877	0 2 30 32 42 44 54 56 84 86	-333535418094
STPT(10)	813848648617488269	0 2 30 32 60 62 90 92 120 122	-271793826702
SPT(16)	813848678231292817	0 16 24 40 42 46 60 64 102 106 120 124 126 142 150 166	-242180022154
SPT(16)	813849011021594909	0 60 62 72 74 84 104 152 162 210 230 240 242 252 254 314	90610279938
SPT(16)	813849130032157133	0 24 36 84 110 206 228 236 258 266 288 384 410 458 470 494	209620842162
SPT(16)	813849491538001229	0 20 42 72 98 122 128 152 210 234 240 264 290 320 342 362	571126686258
STPT(10)	813850381605223511	0 2 6 8 48 50 90 92 96 98	1461193908540
SPT(16)	813850434220030517	0 32 36 60 72 90 102 156 176 230 242 260 272 296 300 332	1513808715546