Prime p₀= 1078731367558484411 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: crashtech
db: batch=76, k=10, 2 34 2 40 2

SPT(16)	1078729289005966901	0 2 8 18 30 36 56 90 128 162 182 188 200 210 216 218	-2078552517510
STPT(10)	1078729924539119471	0 2 90 92 108 110 126 128 216 218	-1443019364940
SPT(16)	1078730079685466251	0 10 16 46 88 96 102 108 130 136 142 150 192 222 228 238	-1287873018160
STPT(10)	1078730234078691239	0 2 12 14 90 92 168 170 180 182	-1133479793172
SPT(16)	1078730958533039041	0 18 40 52 72 88 102 112 168 178 192 208 228 240 262 280	-409025445370
STPT(10)	1078731110163774797	0 2 30 32 72 74 114 116 144 146	-257394709614
SPT(16)	1078731398091891043	0 30 54 76 78 90 118 120 154 156 184 196 198 220 244 274	30533406632
STPT(10)	1078731509445686597	0 2 54 56 72 74 90 92 144 146	141887202186
STPT(10)	1078731543755703191	0 2 6 8 48 50 90 92 96 98	176197218780
STPT(10)	1078731657200868479	0 2 48 50 90 92 132 134 180 182	289642384068
STPT(10)	1078731739712086709	0 2 18 20 30 32 42 44 60 62	372153602298