Prime p₀= 2718403392994336169 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 16 2 70 2 10 2 28 2 (?)
a_n: 0 2 78 80 90 92 108 110 180 182 192 194 222 224
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: 224
Found by: [SG-FC] hl
db: batch=82, k=14, 76 10 16 70 10 28

SPT(16)	2718402467464127407	0 36 42 82 84 90 106 112 144 150 166 172 174 214 220 256	-925530208762
TPT(14)	2718402699605741747	0 2 42 44 84 86 102 104 240 242 432 434 474 476	-693388594422
STPT(10)	2718402968736040007	0 2 42 44 102 104 162 164 204 206	-424258296162
STPT(10)	2718403222334812667	0 2 54 56 72 74 90 92 144 146	-170659523502
SPT(16)	2718403294918172711	0 36 50 56 62 66 90 150 152 212 236 240 246 252 266 302	-98076163458
TPT(14)	2718403347907261589	0 2 12 14 108 110 150 152 168 170 210 212 222 224	-45087074580
STPT(10)	2718403461726765299	0 2 48 50 90 92 132 134 180 182	68732429130
SPT(16)	2718403525703261387	0 50 80 132 140 144 176 210 266 300 332 336 344 396 426 476	132708925218
STPT(10)	2718403835300983649	0 2 78 80 120 122 162 164 240 242	442306647480
SPT(16)	2718403897260930997	0 4 16 34 54 60 70 100 126 156 166 172 192 210 222 226	504266594828
STPT(10)	2718403899269461769	0 2 42 44 60 62 78 80 120 122	506275125600