Prime p₀= 2217327288266014049 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 28 2 10 2 28 2 16 2 10 2 (?)
a_n: 0 2 138 140 168 170 180 182 210 212 228 230 240 242
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: 242
Found by: ginga
db: batch=81, k=14, 136 28 10 28 16 10

SPT(16)	2217325446660214721	0 62 120 132 138 152 168 182 216 230 246 260 266 278 336 398	-1841605799328
STPT(10)	2217325605881783861	0 2 36 38 78 80 120 122 156 158	-1682384230188
SPT(16)	2217326511981099517	0 10 60 82 84 94 102 124 150 172 180 190 192 214 264 274	-776284914532
STPT(10)	2217326583340205537	0 2 30 32 72 74 114 116 144 146	-704925808512
STPT(10)	2217326662148398709	0 2 18 20 30 32 42 44 60 62	-626117615340
STPT(10)	2217326921978883887	0 2 12 14 72 74 132 134 144 146	-366287130162
SPT(16)	2217327822887998181	0 8 26 36 50 60 78 86 102 110 128 138 152 162 180 188	534621984132
SPT(16)	2217328114349526539	0 60 78 84 92 102 104 132 140 168 170 180 188 194 212 272	826083512490
STPT(12)	2217328380586188689	0 2 30 32 42 44 138 140 150 152 180 182	1092320174640
TPT(14)	2217328380586188689	0 2 30 32 42 44 138 140 150 152 180 182 210 212	1092320174640
STPT(10)	2217328725378532067	0 2 30 32 42 44 54 56 84 86	1437112518018