Prime p₀= 1022564162119696739 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 182
Found by: Theadalus
db: batch=76, k=10, 2 10 2 76 2

SPT(16)	1022561455908699121	0 10 22 70 72 78 112 126 172 186 220 226 228 276 288 298	-2706210997618
STPT(10)	1022561670537397589	0 2 18 20 30 32 42 44 60 62	-2491582299150
STPT(10)	1022563195576980647	0 2 42 44 72 74 102 104 144 146	-966542716092
SPT(16)	1022563608088638107	0 6 30 32 42 44 66 86 120 140 162 164 174 176 200 206	-554031058632
STPT(10)	1022563761444448967	0 2 42 44 102 104 162 164 204 206	-400675247772
SPT(16)	1022563911586360933	0 30 48 54 60 76 84 96 118 130 138 154 160 166 184 214	-250533335806
STPT(10)	1022564263213907891	0 2 36 38 78 80 120 122 156 158	101094211152
STPT(10)	1022564367291373349	0 2 42 44 60 62 78 80 120 122	205171676610
STPT(10)	1022564454307885079	0 2 42 44 90 92 138 140 180 182	292188188340
SPT(16)	1022564534176731517	0 34 70 100 112 114 124 142 192 210 220 222 234 264 300 334	372057034778
SPT(16)	1022565172569355049	0 90 122 180 204 224 272 332 360 420 468 488 512 570 602 692	1010449658310