Prime p₀= 4365229097080559777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Autofuzzy
db: batch=85, k=10, 2 22 2 16 2

SPT(16)	4365227724504573133	0 16 34 84 106 114 166 174 190 198 250 258 280 330 348 364	-1372575986644
STPT(12)	4365227957869575437	0 2 12 14 54 56 60 62 102 104 114 116	-1139210984340
STPT(10)	4365228097962015299	0 2 72 74 120 122 168 170 240 242	-999118544478
STPT(10)	4365228218012077859	0 2 42 44 60 62 78 80 120 122	-879068481918
SPT(16)	4365228411135980669	0 2 24 72 78 80 92 150 212 270 282 284 290 338 360 362	-685944579108
STPT(10)	4365228811781191259	0 2 12 14 90 92 168 170 180 182	-285299368518
SPT(16)	4365229121560313119	0 22 58 88 100 112 114 142 150 178 180 192 204 234 270 292	24479753342
STPT(10)	4365229218967476029	0 2 18 20 60 62 102 104 120 122	121886916252
STPT(10)	4365229358352991697	0 2 84 86 162 164 240 242 324 326	261272431920
SPT(16)	4365229486198639517	0 20 26 42 50 54 96 116 120 140 182 186 194 210 216 236	389118079740
SPT(16)	4365229652297082461	0 2 12 18 32 72 90 98 102 110 128 168 182 188 198 200	555216522684