Prime p₀= 2778089663256902639 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 52 2 118 2 64 2 22 2 (?)
a_n: 0 2 78 80 108 110 162 164 282 284 348 350 372 374
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: 374
Found by: conf [MM]
db: batch=82, k=14, 76 28 52 118 64 22

SPT(16)	2778088644488480831	0 2 30 96 110 126 138 162 176 200 212 228 242 308 336 338	-1018768421808
SPT(16)	2778088754496874361	0 56 90 110 126 170 186 188 210 212 228 272 288 308 342 398	-908760028278
SPT(16)	2778089058865733161	0 6 16 42 48 66 160 198 220 258 352 370 376 402 412 418	-604391169478
SPT(16)	2778089145992117641	0 22 28 40 102 138 160 162 178 180 202 238 300 312 318 340	-517264784998
SPT(16)	2778089361525446029	0 40 118 132 144 162 208 220 372 384 430 448 460 474 552 592	-301731456610
STPT(10)	2778089377010281379	0 2 42 44 90 92 138 140 180 182	-286246621260
TPT(14)	2778090502445653247	0 2 12 14 24 26 30 32 144 146 150 152 180 182	839188750608
STPT(10)	2778091079891093171	0 2 6 8 18 20 30 32 36 38	1416634190532
SPT(16)	2778091160878759279	0 12 30 42 60 88 112 114 178 180 204 232 250 262 280 292	1497621856640
STPT(10)	2778091242994361051	0 2 6 8 18 20 30 32 36 38	1579737458412
TPT(14)	2778091324050027281	0 2 90 92 156 158 168 170 228 230 396 398 426 428	1660793124642