Prime p₀= 798766788705812219 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 52 2 28 2 34 2 10 2 40 2 (?)
a_n: 0 2 18 20 72 74 102 104 138 140 150 152 192 194
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: 194
Found by: Theadalus
db: batch=73, k=14, 16 52 28 34 10 40

STPT(10)	798765935974936751	0 2 6 8 48 50 90 92 96 98	-852730875468
SPT(16)	798766156844979341	0 32 36 50 102 110 120 132 140 152 162 170 222 236 240 272	-631860832878
STPT(10)	798766167126154187	0 2 30 32 120 122 210 212 240 242	-621579658032
SPT(16)	798766323841519841	0 30 80 86 98 110 212 222 236 246 348 360 372 378 428 458	-464864292378
SPT(16)	798766428114252749	0 20 32 50 84 104 134 144 170 180 210 230 264 282 294 314	-360591559470
STPT(10)	798766574549709131	0 2 36 38 78 80 120 122 156 158	-214156103088
SPT(16)	798766957143978457	0 24 42 52 76 94 130 144 412 426 462 480 504 514 532 556	168438166238
STPT(10)	798767654377654457	0 2 60 62 72 74 84 86 144 146	865671842238
SPT(16)	798767842276414393	0 6 48 54 60 70 94 106 108 120 144 154 160 166 208 214	1053570602174
STPT(10)	798768121395094769	0 2 78 80 120 122 162 164 240 242	1332689282550
STPT(10)	798768130024421267	0 2 12 14 42 44 72 74 84 86	1341318609048