Prime p₀= 2776305832260891941 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 28 2 58 2 28 2 10 2 10 2 (?)
a_n: 0 2 6 8 36 38 96 98 126 128 138 140 150 152
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: 152
Found by: JayPi
db: batch=82, k=14, 4 28 58 28 10 10

SPT(16)	2776304611315023059	0 20 32 42 60 62 78 110 252 284 300 302 320 330 342 362	-1220945868882
TPT(14)	2776304763553780799	0 2 18 20 132 134 138 140 168 170 198 200 228 230	-1068707111142
SPT(16)	2776305187476323519	0 20 32 44 78 102 104 162 170 228 230 254 288 300 312 332	-644784568422
TPT(14)	2776305354174836039	0 2 108 110 138 140 318 320 342 344 372 374 402 404	-478086055902
SPT(16)	2776305425139495071	0 30 32 72 78 98 140 182 258 300 342 362 368 408 410 440	-407121396870
STPT(10)	2776305515489019329	0 2 12 14 30 32 48 50 60 62	-316771872612
STPT(10)	2776306095811512917	0 2 42 44 102 104 162 164 204 206	263550620976
STPT(10)	2776306695746356439	0 2 78 80 120 122 162 164 240 242	863485464498
SPT(16)	2776307034527410543	0 24 40 48 66 90 108 136 168 196 214 238 256 264 280 304	1202266518602
SPT(16)	2776307068103906809	0 24 54 64 72 82 108 114 148 154 180 190 198 208 238 262	1235843014868
STPT(10)	2776307468006860787	0 2 24 26 42 44 60 62 84 86	1635745968846