Prime p₀= 2774689080428495687 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 40 2 34 2 40 2 10 2 (?)
a_n: 0 2 30 32 42 44 84 86 120 122 162 164 174 176
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: 176
Found by: JayPi
db: batch=82, k=14, 28 10 40 34 40 10

SPT(16)	2774687462143412267	0 30 50 56 86 110 116 200 222 306 312 336 366 372 392 422	-1618285083420
STPT(10)	2774687798631412709	0 2 42 44 90 92 138 140 180 182	-1281797082978
STPT(10)	2774687965757881487	0 2 30 32 42 44 54 56 84 86	-1114670614200
SPT(16)	2774688414090830141	0 36 60 62 72 80 90 92 156 158 168 176 186 188 212 248	-666337665546
SPT(16)	2774688809497483757	0 30 74 146 182 194 230 270 296 336 372 384 420 492 536 566	-270931011930
SPT(16)	2774688970938441631	0 40 100 112 126 130 156 162 166 172 198 202 216 228 288 328	-109490054056
STPT(12)	2774689080428495717	0 2 12 14 54 56 90 92 132 134 144 146	30
SPT(16)	2774690168136902929	0 18 28 30 34 42 72 84 118 130 160 168 172 174 184 202	1087708407242
STPT(10)	2774690459861155607	0 2 30 32 72 74 114 116 144 146	1379432659920
STPT(10)	2774691032352344429	0 2 18 20 30 32 42 44 60 62	1951923848742
STPT(10)	2774691228973174727	0 2 60 62 72 74 84 86 144 146	2148544679040