Prime p₀= 1121557784853126497 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: Theadalus
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	1121556135280206497	0 26 32 50 62 84 92 102 134 144 152 174 186 204 210 236	-1649572920000
SPT(16)	1121556176922873997	0 22 42 70 90 100 120 130 144 154 174 184 204 232 252 274	-1607930252500
SPT(16)	1121556916483140997	0 6 60 90 112 124 132 144 202 214 222 234 256 286 340 346	-868369985500
STPT(10)	1121557057163179457	0 2 60 62 72 74 84 86 144 146	-727689947040
STPT(10)	1121557075311644327	0 2 30 32 72 74 114 116 144 146	-709541482170
SPT(16)	1121557709509007777	0 14 56 84 86 90 114 140 156 182 206 210 212 240 282 296	-75344118720
SPT(16)	1121558256765888671	0 32 38 60 80 120 126 146 162 182 188 228 248 270 276 308	471912762174
STPT(10)	1121558536744200557	0 2 30 32 72 74 114 116 144 146	751891074060
SPT(16)	1121558666842634231	0 2 12 38 60 78 128 206 282 360 410 428 450 476 486 488	881989507734
STPT(10)	1121558928018368687	0 2 12 14 42 44 72 74 84 86	1143165242190
SPT(16)	1121559041904128237	0 2 36 50 56 102 104 144 212 252 254 300 306 320 354 356	1257051001740