Prime p₀= 1117015523685777809 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: crashtech
db: batch=76, k=10, 2 28 2 28 2

STPT(10)	1117013108441683637	0 2 30 32 60 62 90 92 120 122	-2415244094172
STPT(10)	1117013540657634671	0 2 6 8 18 20 30 32 36 38	-1983028143138
SPT(16)	1117013676455588141	0 2 6 32 42 102 156 168 170 182 236 296 306 332 336 338	-1847230189668
SPT(16)	1117013864453094691	0 28 42 46 70 90 96 130 168 202 208 228 252 256 270 298	-1659232683118
SPT(16)	1117014320841907727	0 30 54 56 114 150 180 194 222 236 266 302 360 362 386 416	-1202843870082
SPT(16)	1117014630360298519	0 42 64 70 78 94 114 174 178 238 258 274 282 288 310 352	-893325479290
SPT(16)	1117015643799002977	0 60 66 82 112 120 144 162 214 232 256 264 294 310 316 376	120113225168
SPT(16)	1117015802390967943	0 10 36 46 66 70 78 100 114 136 144 148 168 178 204 214	278705190134
SPT(16)	1117015813648779907	0 4 24 36 42 70 100 106 150 156 186 214 220 232 252 256	289963002098
SPT(16)	1117016043497140229	0 2 24 32 78 120 132 158 174 200 212 254 300 308 330 332	519811362420
STPT(10)	1117016588841973847	0 2 24 26 42 44 60 62 84 86	1065156196038