Prime p₀= 3018972297667355957 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	3018970953603751669	0 34 42 48 112 132 138 180 292 334 340 360 424 430 438 472	-1344063604288
STPT(10)	3018971135176175831	0 2 36 38 78 80 120 122 156 158	-1162491180126
SPT(16)	3018971206681489469	0 14 60 72 78 98 128 132 170 174 204 224 230 242 288 302	-1090985866488
TPT(14)	3018971562788179169	0 2 42 44 78 80 138 140 162 164 210 212 252 254	-734879176788
SPT(16)	3018971579038102489	0 42 88 102 118 120 138 204 208 274 292 294 310 324 370 412	-718629253468
STPT(10)	3018972033211993211	0 2 90 92 150 152 210 212 300 302	-264455362746
STPT(10)	3018972821805565127	0 2 24 26 42 44 60 62 84 86	524138209170
STPT(10)	3018972950341203629	0 2 48 50 90 92 132 134 180 182	652673847672
STPT(10)	3018973117993139297	0 2 42 44 72 74 102 104 144 146	820325783340
STPT(10)	3018973169393912639	0 2 18 20 30 32 42 44 60 62	871726556682
SPT(13)	3018973311386728961	0 42 72 90 102 132 150 168 198 210 228 258 300	1013719373004